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Finding the Fourth Proportional to 113.84, 169.76 and 107.76

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Solution

The fourth proportional to 113.84, 169.76 and 107.76 is: 160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.84 : 169.76 = 107.76 : x
  2. Step 2: Convert to fraction form
    113.84/169.76 = 107.76/x
  3. Step 3: Cross multiply
    113.84x = 169.76 × 107.76
  4. Step 4: Simplify right side
    113.84x = 18,292.80
  5. Step 5: Solve for x
    x = 18,292.80/113.84
  6. Step 6: Final answer
    x = 160.70

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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.