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Finding the Fourth Proportional to 112.56, 155.19 and 75.66

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Solution

The fourth proportional to 112.56, 155.19 and 75.66 is: 104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.56 : 155.19 = 75.66 : x
  2. Step 2: Convert to fraction form
    112.56/155.19 = 75.66/x
  3. Step 3: Cross multiply
    112.56x = 155.19 × 75.66
  4. Step 4: Simplify right side
    112.56x = 11,741.68
  5. Step 5: Solve for x
    x = 11,741.68/112.56
  6. Step 6: Final answer
    x = 104.31

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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.