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Finding the Fourth Proportional to 112.65, 168.34 and 90.74

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Solution

The fourth proportional to 112.65, 168.34 and 90.74 is: 135.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.65 : 168.34 = 90.74 : x
  2. Step 2: Convert to fraction form
    112.65/168.34 = 90.74/x
  3. Step 3: Cross multiply
    112.65x = 168.34 × 90.74
  4. Step 4: Simplify right side
    112.65x = 15,275.17
  5. Step 5: Solve for x
    x = 15,275.17/112.65
  6. Step 6: Final answer
    x = 135.60

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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.