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Finding the Fourth Proportional to 83.32, 114.14 and 80.24

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Solution

The fourth proportional to 83.32, 114.14 and 80.24 is: 109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.32 : 114.14 = 80.24 : x
  2. Step 2: Convert to fraction form
    83.32/114.14 = 80.24/x
  3. Step 3: Cross multiply
    83.32x = 114.14 × 80.24
  4. Step 4: Simplify right side
    83.32x = 9,158.59
  5. Step 5: Solve for x
    x = 9,158.59/83.32
  6. Step 6: Final answer
    x = 109.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.