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Finding the Fourth Proportional to 63.17, 87.13 and 41.02

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Solution

The fourth proportional to 63.17, 87.13 and 41.02 is: 56.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.17 : 87.13 = 41.02 : x
  2. Step 2: Convert to fraction form
    63.17/87.13 = 41.02/x
  3. Step 3: Cross multiply
    63.17x = 87.13 × 41.02
  4. Step 4: Simplify right side
    63.17x = 3,574.07
  5. Step 5: Solve for x
    x = 3,574.07/63.17
  6. Step 6: Final answer
    x = 56.58

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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.