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Finding the Fourth Proportional to 109.86, 151.61 and 63.24

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Solution

The fourth proportional to 109.86, 151.61 and 63.24 is: 87.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.86 : 151.61 = 63.24 : x
  2. Step 2: Convert to fraction form
    109.86/151.61 = 63.24/x
  3. Step 3: Cross multiply
    109.86x = 151.61 × 63.24
  4. Step 4: Simplify right side
    109.86x = 9,587.82
  5. Step 5: Solve for x
    x = 9,587.82/109.86
  6. Step 6: Final answer
    x = 87.27

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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.