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Finding the Fourth Proportional to 109.70, 151.17 and 102.26

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Solution

The fourth proportional to 109.70, 151.17 and 102.26 is: 140.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.70 : 151.17 = 102.26 : x
  2. Step 2: Convert to fraction form
    109.70/151.17 = 102.26/x
  3. Step 3: Cross multiply
    109.70x = 151.17 × 102.26
  4. Step 4: Simplify right side
    109.70x = 15,458.64
  5. Step 5: Solve for x
    x = 15,458.64/109.70
  6. Step 6: Final answer
    x = 140.92

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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.