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Finding the Fourth Proportional to 100.92, 138.39 and 95.88

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Solution

The fourth proportional to 100.92, 138.39 and 95.88 is: 131.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.92 : 138.39 = 95.88 : x
  2. Step 2: Convert to fraction form
    100.92/138.39 = 95.88/x
  3. Step 3: Cross multiply
    100.92x = 138.39 × 95.88
  4. Step 4: Simplify right side
    100.92x = 13,268.83
  5. Step 5: Solve for x
    x = 13,268.83/100.92
  6. Step 6: Final answer
    x = 131.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.