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Finding the Fourth Proportional to 112.98, 170.24 and 93.14

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Solution

The fourth proportional to 112.98, 170.24 and 93.14 is: 140.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.98 : 170.24 = 93.14 : x
  2. Step 2: Convert to fraction form
    112.98/170.24 = 93.14/x
  3. Step 3: Cross multiply
    112.98x = 170.24 × 93.14
  4. Step 4: Simplify right side
    112.98x = 15,854.84
  5. Step 5: Solve for x
    x = 15,854.84/112.98
  6. Step 6: Final answer
    x = 140.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.