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Finding the Fourth Proportional to 109.97, 151.77 and 63.34

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Solution

The fourth proportional to 109.97, 151.77 and 63.34 is: 87.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.97 : 151.77 = 63.34 : x
  2. Step 2: Convert to fraction form
    109.97/151.77 = 63.34/x
  3. Step 3: Cross multiply
    109.97x = 151.77 × 63.34
  4. Step 4: Simplify right side
    109.97x = 9,613.11
  5. Step 5: Solve for x
    x = 9,613.11/109.97
  6. Step 6: Final answer
    x = 87.42

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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.