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Finding the Fourth Proportional to 59.71, 82.38 and 37.57

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Solution

The fourth proportional to 59.71, 82.38 and 37.57 is: 51.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.71 : 82.38 = 37.57 : x
  2. Step 2: Convert to fraction form
    59.71/82.38 = 37.57/x
  3. Step 3: Cross multiply
    59.71x = 82.38 × 37.57
  4. Step 4: Simplify right side
    59.71x = 3,095.02
  5. Step 5: Solve for x
    x = 3,095.02/59.71
  6. Step 6: Final answer
    x = 51.83

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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.