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Finding the Fourth Proportional to 63.59, 95.13 and 59.75

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Solution

The fourth proportional to 63.59, 95.13 and 59.75 is: 89.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.59 : 95.13 = 59.75 : x
  2. Step 2: Convert to fraction form
    63.59/95.13 = 59.75/x
  3. Step 3: Cross multiply
    63.59x = 95.13 × 59.75
  4. Step 4: Simplify right side
    63.59x = 5,683.54
  5. Step 5: Solve for x
    x = 5,683.54/63.59
  6. Step 6: Final answer
    x = 89.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.