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Finding the Fourth Proportional to 149.87, 207.10 and 112.96

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Solution

The fourth proportional to 149.87, 207.10 and 112.96 is: 156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.87 : 207.10 = 112.96 : x
  2. Step 2: Convert to fraction form
    149.87/207.10 = 112.96/x
  3. Step 3: Cross multiply
    149.87x = 207.10 × 112.96
  4. Step 4: Simplify right side
    149.87x = 23,394.80
  5. Step 5: Solve for x
    x = 23,394.80/149.87
  6. Step 6: Final answer
    x = 156.10

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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.