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Finding the Fourth Proportional to 101.57, 140.17 and 57.91

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Solution

The fourth proportional to 101.57, 140.17 and 57.91 is: 79.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.57 : 140.17 = 57.91 : x
  2. Step 2: Convert to fraction form
    101.57/140.17 = 57.91/x
  3. Step 3: Cross multiply
    101.57x = 140.17 × 57.91
  4. Step 4: Simplify right side
    101.57x = 8,117.24
  5. Step 5: Solve for x
    x = 8,117.24/101.57
  6. Step 6: Final answer
    x = 79.92

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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.