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Finding the Fourth Proportional to 100.25, 138.18 and 76.89

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Solution

The fourth proportional to 100.25, 138.18 and 76.89 is: 105.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.25 : 138.18 = 76.89 : x
  2. Step 2: Convert to fraction form
    100.25/138.18 = 76.89/x
  3. Step 3: Cross multiply
    100.25x = 138.18 × 76.89
  4. Step 4: Simplify right side
    100.25x = 10,624.66
  5. Step 5: Solve for x
    x = 10,624.66/100.25
  6. Step 6: Final answer
    x = 105.98

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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.