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Finding the Fourth Proportional to 100.67, 138.85 and 69.58

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Solution

The fourth proportional to 100.67, 138.85 and 69.58 is: 95.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.67 : 138.85 = 69.58 : x
  2. Step 2: Convert to fraction form
    100.67/138.85 = 69.58/x
  3. Step 3: Cross multiply
    100.67x = 138.85 × 69.58
  4. Step 4: Simplify right side
    100.67x = 9,660.66
  5. Step 5: Solve for x
    x = 9,660.66/100.67
  6. Step 6: Final answer
    x = 95.96

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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.