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Finding the Fourth Proportional to 59.74, 82.52 and 57.61

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Solution

The fourth proportional to 59.74, 82.52 and 57.61 is: 79.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.74 : 82.52 = 57.61 : x
  2. Step 2: Convert to fraction form
    59.74/82.52 = 57.61/x
  3. Step 3: Cross multiply
    59.74x = 82.52 × 57.61
  4. Step 4: Simplify right side
    59.74x = 4,754.01
  5. Step 5: Solve for x
    x = 4,754.01/59.74
  6. Step 6: Final answer
    x = 79.58

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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.