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Finding the Fourth Proportional to 101.46, 140.17 and 78.24

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Solution

The fourth proportional to 101.46, 140.17 and 78.24 is: 108.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.46 : 140.17 = 78.24 : x
  2. Step 2: Convert to fraction form
    101.46/140.17 = 78.24/x
  3. Step 3: Cross multiply
    101.46x = 140.17 × 78.24
  4. Step 4: Simplify right side
    101.46x = 10,966.71
  5. Step 5: Solve for x
    x = 10,966.71/101.46
  6. Step 6: Final answer
    x = 108.09

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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.