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Finding the Fourth Proportional to 121.16, 182.08 and 112.96

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Solution

The fourth proportional to 121.16, 182.08 and 112.96 is: 169.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.16 : 182.08 = 112.96 : x
  2. Step 2: Convert to fraction form
    121.16/182.08 = 112.96/x
  3. Step 3: Cross multiply
    121.16x = 182.08 × 112.96
  4. Step 4: Simplify right side
    121.16x = 20,567.76
  5. Step 5: Solve for x
    x = 20,567.76/121.16
  6. Step 6: Final answer
    x = 169.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.