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Finding the Fourth Proportional to 114.24, 169.92 and 113.76

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Solution

The fourth proportional to 114.24, 169.92 and 113.76 is: 169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.24 : 169.92 = 113.76 : x
  2. Step 2: Convert to fraction form
    114.24/169.92 = 113.76/x
  3. Step 3: Cross multiply
    114.24x = 169.92 × 113.76
  4. Step 4: Simplify right side
    114.24x = 19,330.10
  5. Step 5: Solve for x
    x = 19,330.10/114.24
  6. Step 6: Final answer
    x = 169.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.