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Finding the Fourth Proportional to 101.92, 140.69 and 60.46

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Solution

The fourth proportional to 101.92, 140.69 and 60.46 is: 83.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.92 : 140.69 = 60.46 : x
  2. Step 2: Convert to fraction form
    101.92/140.69 = 60.46/x
  3. Step 3: Cross multiply
    101.92x = 140.69 × 60.46
  4. Step 4: Simplify right side
    101.92x = 8,505.41
  5. Step 5: Solve for x
    x = 8,505.41/101.92
  6. Step 6: Final answer
    x = 83.46

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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.