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Finding the Fourth Proportional to 138.60, 191 and 89.39

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Solution

The fourth proportional to 138.60, 191 and 89.39 is: 123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.60 : 191 = 89.39 : x
  2. Step 2: Convert to fraction form
    138.60/191 = 89.39/x
  3. Step 3: Cross multiply
    138.60x = 191 × 89.39
  4. Step 4: Simplify right side
    138.60x = 17,073.49
  5. Step 5: Solve for x
    x = 17,073.49/138.60
  6. Step 6: Final answer
    x = 123.19

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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.