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Finding the Fourth Proportional to 101.91, 140.66 and 57.66

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Solution

The fourth proportional to 101.91, 140.66 and 57.66 is: 79.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.91 : 140.66 = 57.66 : x
  2. Step 2: Convert to fraction form
    101.91/140.66 = 57.66/x
  3. Step 3: Cross multiply
    101.91x = 140.66 × 57.66
  4. Step 4: Simplify right side
    101.91x = 8,110.17
  5. Step 5: Solve for x
    x = 8,110.17/101.91
  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.