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Finding the Fourth Proportional to 138.78, 191.63 and 89.64

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Solution

The fourth proportional to 138.78, 191.63 and 89.64 is: 123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.78 : 191.63 = 89.64 : x
  2. Step 2: Convert to fraction form
    138.78/191.63 = 89.64/x
  3. Step 3: Cross multiply
    138.78x = 191.63 × 89.64
  4. Step 4: Simplify right side
    138.78x = 17,177.94
  5. Step 5: Solve for x
    x = 17,177.94/138.78
  6. Step 6: Final answer
    x = 123.78

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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.