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Finding the Fourth Proportional to 101.87, 140.57 and 57.61

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Solution

The fourth proportional to 101.87, 140.57 and 57.61 is: 79.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.87 : 140.57 = 57.61 : x
  2. Step 2: Convert to fraction form
    101.87/140.57 = 57.61/x
  3. Step 3: Cross multiply
    101.87x = 140.57 × 57.61
  4. Step 4: Simplify right side
    101.87x = 8,098.34
  5. Step 5: Solve for x
    x = 8,098.34/101.87
  6. Step 6: Final answer
    x = 79.50

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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.