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Finding the Fourth Proportional to 33.40, 46.08 and 24.76

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Solution

The fourth proportional to 33.40, 46.08 and 24.76 is: 34.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.40 : 46.08 = 24.76 : x
  2. Step 2: Convert to fraction form
    33.40/46.08 = 24.76/x
  3. Step 3: Cross multiply
    33.40x = 46.08 × 24.76
  4. Step 4: Simplify right side
    33.40x = 1,140.94
  5. Step 5: Solve for x
    x = 1,140.94/33.40
  6. Step 6: Final answer
    x = 34.16

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Find fourth proportional to 16.70, 23.04 and 12.38
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.