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Finding the Fourth Proportional to 112.70, 168.74 and 101.46

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Solution

The fourth proportional to 112.70, 168.74 and 101.46 is: 151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.70 : 168.74 = 101.46 : x
  2. Step 2: Convert to fraction form
    112.70/168.74 = 101.46/x
  3. Step 3: Cross multiply
    112.70x = 168.74 × 101.46
  4. Step 4: Simplify right side
    112.70x = 17,120.61
  5. Step 5: Solve for x
    x = 17,120.61/112.70
  6. Step 6: Final answer
    x = 151.91

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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.