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Finding the Fourth Proportional to 109.98, 151.31 and 109.17

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Solution

The fourth proportional to 109.98, 151.31 and 109.17 is: 150.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.98 : 151.31 = 109.17 : x
  2. Step 2: Convert to fraction form
    109.98/151.31 = 109.17/x
  3. Step 3: Cross multiply
    109.98x = 151.31 × 109.17
  4. Step 4: Simplify right side
    109.98x = 16,517.97
  5. Step 5: Solve for x
    x = 16,517.97/109.98
  6. Step 6: Final answer
    x = 150.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.