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Finding the Fourth Proportional to 44.16, 61.02 and 34.53

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Solution

The fourth proportional to 44.16, 61.02 and 34.53 is: 47.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.16 : 61.02 = 34.53 : x
  2. Step 2: Convert to fraction form
    44.16/61.02 = 34.53/x
  3. Step 3: Cross multiply
    44.16x = 61.02 × 34.53
  4. Step 4: Simplify right side
    44.16x = 2,107.02
  5. Step 5: Solve for x
    x = 2,107.02/44.16
  6. Step 6: Final answer
    x = 47.71

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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.