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Finding the Fourth Proportional to 138.49, 191.02 and 89.43

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Solution

The fourth proportional to 138.49, 191.02 and 89.43 is: 123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.49 : 191.02 = 89.43 : x
  2. Step 2: Convert to fraction form
    138.49/191.02 = 89.43/x
  3. Step 3: Cross multiply
    138.49x = 191.02 × 89.43
  4. Step 4: Simplify right side
    138.49x = 17,082.92
  5. Step 5: Solve for x
    x = 17,082.92/138.49
  6. Step 6: Final answer
    x = 123.35

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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.