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Finding the Fourth Proportional to 100.31, 138.39 and 84.02

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Solution

The fourth proportional to 100.31, 138.39 and 84.02 is: 115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.31 : 138.39 = 84.02 : x
  2. Step 2: Convert to fraction form
    100.31/138.39 = 84.02/x
  3. Step 3: Cross multiply
    100.31x = 138.39 × 84.02
  4. Step 4: Simplify right side
    100.31x = 11,627.53
  5. Step 5: Solve for x
    x = 11,627.53/100.31
  6. Step 6: Final answer
    x = 115.92

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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.