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Finding the Fourth Proportional to 100.38, 138.41 and 88.86

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Solution

The fourth proportional to 100.38, 138.41 and 88.86 is: 122.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.38 : 138.41 = 88.86 : x
  2. Step 2: Convert to fraction form
    100.38/138.41 = 88.86/x
  3. Step 3: Cross multiply
    100.38x = 138.41 × 88.86
  4. Step 4: Simplify right side
    100.38x = 12,299.11
  5. Step 5: Solve for x
    x = 12,299.11/100.38
  6. Step 6: Final answer
    x = 122.53

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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.