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Finding the Fourth Proportional to 106.42, 147.17 and 101.59

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Solution

The fourth proportional to 106.42, 147.17 and 101.59 is: 140.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.42 : 147.17 = 101.59 : x
  2. Step 2: Convert to fraction form
    106.42/147.17 = 101.59/x
  3. Step 3: Cross multiply
    106.42x = 147.17 × 101.59
  4. Step 4: Simplify right side
    106.42x = 14,951.00
  5. Step 5: Solve for x
    x = 14,951.00/106.42
  6. Step 6: Final answer
    x = 140.49

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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.