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Finding the Fourth Proportional to 122.84, 169.53 and 67.58

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Solution

The fourth proportional to 122.84, 169.53 and 67.58 is: 93.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.84 : 169.53 = 67.58 : x
  2. Step 2: Convert to fraction form
    122.84/169.53 = 67.58/x
  3. Step 3: Cross multiply
    122.84x = 169.53 × 67.58
  4. Step 4: Simplify right side
    122.84x = 11,456.86
  5. Step 5: Solve for x
    x = 11,456.86/122.84
  6. Step 6: Final answer
    x = 93.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.