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Finding the Fourth Proportional to 138.64, 191.24 and 89.43

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Solution

The fourth proportional to 138.64, 191.24 and 89.43 is: 123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.64 : 191.24 = 89.43 : x
  2. Step 2: Convert to fraction form
    138.64/191.24 = 89.43/x
  3. Step 3: Cross multiply
    138.64x = 191.24 × 89.43
  4. Step 4: Simplify right side
    138.64x = 17,102.59
  5. Step 5: Solve for x
    x = 17,102.59/138.64
  6. Step 6: Final answer
    x = 123.36

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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.