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Finding the Fourth Proportional to 33.84, 46.74 and 24.18

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Solution

The fourth proportional to 33.84, 46.74 and 24.18 is: 33.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.84 : 46.74 = 24.18 : x
  2. Step 2: Convert to fraction form
    33.84/46.74 = 24.18/x
  3. Step 3: Cross multiply
    33.84x = 46.74 × 24.18
  4. Step 4: Simplify right side
    33.84x = 1,130.17
  5. Step 5: Solve for x
    x = 1,130.17/33.84
  6. Step 6: Final answer
    x = 33.40

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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.