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Finding the Fourth Proportional to 101.15, 138.70 and 98.72

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Solution

The fourth proportional to 101.15, 138.70 and 98.72 is: 135.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.15 : 138.70 = 98.72 : x
  2. Step 2: Convert to fraction form
    101.15/138.70 = 98.72/x
  3. Step 3: Cross multiply
    101.15x = 138.70 × 98.72
  4. Step 4: Simplify right side
    101.15x = 13,691.97
  5. Step 5: Solve for x
    x = 13,691.97/101.15
  6. Step 6: Final answer
    x = 135.36

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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.