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Finding the Fourth Proportional to 138.75, 191.49 and 89.76

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Solution

The fourth proportional to 138.75, 191.49 and 89.76 is: 123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.75 : 191.49 = 89.76 : x
  2. Step 2: Convert to fraction form
    138.75/191.49 = 89.76/x
  3. Step 3: Cross multiply
    138.75x = 191.49 × 89.76
  4. Step 4: Simplify right side
    138.75x = 17,188.14
  5. Step 5: Solve for x
    x = 17,188.14/138.75
  6. Step 6: Final answer
    x = 123.88

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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.