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Finding the Fourth Proportional to 100.38, 138.38 and 71.22

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Solution

The fourth proportional to 100.38, 138.38 and 71.22 is: 98.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.38 : 138.38 = 71.22 : x
  2. Step 2: Convert to fraction form
    100.38/138.38 = 71.22/x
  3. Step 3: Cross multiply
    100.38x = 138.38 × 71.22
  4. Step 4: Simplify right side
    100.38x = 9,855.42
  5. Step 5: Solve for x
    x = 9,855.42/100.38
  6. Step 6: Final answer
    x = 98.18

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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.