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Finding the Fourth Proportional to 100.12, 138.24 and 75.70

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Solution

The fourth proportional to 100.12, 138.24 and 75.70 is: 104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.12 : 138.24 = 75.70 : x
  2. Step 2: Convert to fraction form
    100.12/138.24 = 75.70/x
  3. Step 3: Cross multiply
    100.12x = 138.24 × 75.70
  4. Step 4: Simplify right side
    100.12x = 10,463.89
  5. Step 5: Solve for x
    x = 10,463.89/100.12
  6. Step 6: Final answer
    x = 104.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.