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Finding the Fourth Proportional to 109.47, 151.19 and 86.43

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Solution

The fourth proportional to 109.47, 151.19 and 86.43 is: 119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.47 : 151.19 = 86.43 : x
  2. Step 2: Convert to fraction form
    109.47/151.19 = 86.43/x
  3. Step 3: Cross multiply
    109.47x = 151.19 × 86.43
  4. Step 4: Simplify right side
    109.47x = 13,067.35
  5. Step 5: Solve for x
    x = 13,067.35/109.47
  6. Step 6: Final answer
    x = 119.37

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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.