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Finding the Fourth Proportional to 138.59, 191.14 and 99.17

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Solution

The fourth proportional to 138.59, 191.14 and 99.17 is: 136.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.59 : 191.14 = 99.17 : x
  2. Step 2: Convert to fraction form
    138.59/191.14 = 99.17/x
  3. Step 3: Cross multiply
    138.59x = 191.14 × 99.17
  4. Step 4: Simplify right side
    138.59x = 18,955.35
  5. Step 5: Solve for x
    x = 18,955.35/138.59
  6. Step 6: Final answer
    x = 136.77

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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.