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Finding the Fourth Proportional to 122.78, 169.40 and 76.14

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Solution

The fourth proportional to 122.78, 169.40 and 76.14 is: 105.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.78 : 169.40 = 76.14 : x
  2. Step 2: Convert to fraction form
    122.78/169.40 = 76.14/x
  3. Step 3: Cross multiply
    122.78x = 169.40 × 76.14
  4. Step 4: Simplify right side
    122.78x = 12,897.74
  5. Step 5: Solve for x
    x = 12,897.74/122.78
  6. Step 6: Final answer
    x = 105.05

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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.