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Finding the Fourth Proportional to 99.44, 149.40 and 71.12

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Solution

The fourth proportional to 99.44, 149.40 and 71.12 is: 106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.44 : 149.40 = 71.12 : x
  2. Step 2: Convert to fraction form
    99.44/149.40 = 71.12/x
  3. Step 3: Cross multiply
    99.44x = 149.40 × 71.12
  4. Step 4: Simplify right side
    99.44x = 10,625.33
  5. Step 5: Solve for x
    x = 10,625.33/99.44
  6. Step 6: Final answer
    x = 106.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.