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Finding the Fourth Proportional to 112.84, 169.12 and 67.20

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Solution

The fourth proportional to 112.84, 169.12 and 67.20 is: 100.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.84 : 169.12 = 67.20 : x
  2. Step 2: Convert to fraction form
    112.84/169.12 = 67.20/x
  3. Step 3: Cross multiply
    112.84x = 169.12 × 67.20
  4. Step 4: Simplify right side
    112.84x = 11,364.86
  5. Step 5: Solve for x
    x = 11,364.86/112.84
  6. Step 6: Final answer
    x = 100.72

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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.