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Finding the Fourth Proportional to 63.13, 86.94 and 59.22

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Solution

The fourth proportional to 63.13, 86.94 and 59.22 is: 81.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.13 : 86.94 = 59.22 : x
  2. Step 2: Convert to fraction form
    63.13/86.94 = 59.22/x
  3. Step 3: Cross multiply
    63.13x = 86.94 × 59.22
  4. Step 4: Simplify right side
    63.13x = 5,148.59
  5. Step 5: Solve for x
    x = 5,148.59/63.13
  6. Step 6: Final answer
    x = 81.56

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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.