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Finding the Fourth Proportional to 138.72, 191.49 and 95.07

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Solution

The fourth proportional to 138.72, 191.49 and 95.07 is: 131.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.72 : 191.49 = 95.07 : x
  2. Step 2: Convert to fraction form
    138.72/191.49 = 95.07/x
  3. Step 3: Cross multiply
    138.72x = 191.49 × 95.07
  4. Step 4: Simplify right side
    138.72x = 18,204.95
  5. Step 5: Solve for x
    x = 18,204.95/138.72
  6. Step 6: Final answer
    x = 131.24

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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.