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Finding the Fourth Proportional to 112.30, 167.78 and 86.56

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Solution

The fourth proportional to 112.30, 167.78 and 86.56 is: 129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.30 : 167.78 = 86.56 : x
  2. Step 2: Convert to fraction form
    112.30/167.78 = 86.56/x
  3. Step 3: Cross multiply
    112.30x = 167.78 × 86.56
  4. Step 4: Simplify right side
    112.30x = 14,523.04
  5. Step 5: Solve for x
    x = 14,523.04/112.30
  6. Step 6: Final answer
    x = 129.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.