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Finding the Fourth Proportional to 33.40, 46.07 and 24.67

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Solution

The fourth proportional to 33.40, 46.07 and 24.67 is: 34.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.40 : 46.07 = 24.67 : x
  2. Step 2: Convert to fraction form
    33.40/46.07 = 24.67/x
  3. Step 3: Cross multiply
    33.40x = 46.07 × 24.67
  4. Step 4: Simplify right side
    33.40x = 1,136.31
  5. Step 5: Solve for x
    x = 1,136.31/33.40
  6. Step 6: Final answer
    x = 34.02

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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.