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Finding the Fourth Proportional to 59.16, 81.63 and 38.42

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Solution

The fourth proportional to 59.16, 81.63 and 38.42 is: 53.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.16 : 81.63 = 38.42 : x
  2. Step 2: Convert to fraction form
    59.16/81.63 = 38.42/x
  3. Step 3: Cross multiply
    59.16x = 81.63 × 38.42
  4. Step 4: Simplify right side
    59.16x = 3,136.69
  5. Step 5: Solve for x
    x = 3,136.69/59.16
  6. Step 6: Final answer
    x = 53.02

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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.