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Finding the Fourth Proportional to 138.72, 191.51 and 99.44

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Solution

The fourth proportional to 138.72, 191.51 and 99.44 is: 137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.72 : 191.51 = 99.44 : x
  2. Step 2: Convert to fraction form
    138.72/191.51 = 99.44/x
  3. Step 3: Cross multiply
    138.72x = 191.51 × 99.44
  4. Step 4: Simplify right side
    138.72x = 19,042.30
  5. Step 5: Solve for x
    x = 19,042.30/138.72
  6. Step 6: Final answer
    x = 137.27

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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.