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Finding the Fourth Proportional to 109.78, 151.73 and 101.27

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Solution

The fourth proportional to 109.78, 151.73 and 101.27 is: 139.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.78 : 151.73 = 101.27 : x
  2. Step 2: Convert to fraction form
    109.78/151.73 = 101.27/x
  3. Step 3: Cross multiply
    109.78x = 151.73 × 101.27
  4. Step 4: Simplify right side
    109.78x = 15,365.70
  5. Step 5: Solve for x
    x = 15,365.70/109.78
  6. Step 6: Final answer
    x = 139.97

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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.