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Finding the Fourth Proportional to 107.11, 147.88 and 82.17

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Solution

The fourth proportional to 107.11, 147.88 and 82.17 is: 113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.11 : 147.88 = 82.17 : x
  2. Step 2: Convert to fraction form
    107.11/147.88 = 82.17/x
  3. Step 3: Cross multiply
    107.11x = 147.88 × 82.17
  4. Step 4: Simplify right side
    107.11x = 12,151.20
  5. Step 5: Solve for x
    x = 12,151.20/107.11
  6. Step 6: Final answer
    x = 113.45

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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.