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Finding the Fourth Proportional to 112.84, 169.13 and 96.55

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Solution

The fourth proportional to 112.84, 169.13 and 96.55 is: 144.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.84 : 169.13 = 96.55 : x
  2. Step 2: Convert to fraction form
    112.84/169.13 = 96.55/x
  3. Step 3: Cross multiply
    112.84x = 169.13 × 96.55
  4. Step 4: Simplify right side
    112.84x = 16,329.32
  5. Step 5: Solve for x
    x = 16,329.32/112.84
  6. Step 6: Final answer
    x = 144.72

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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.