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Finding the Fourth Proportional to 122.50, 169.03 and 78.16

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Solution

The fourth proportional to 122.50, 169.03 and 78.16 is: 107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.50 : 169.03 = 78.16 : x
  2. Step 2: Convert to fraction form
    122.50/169.03 = 78.16/x
  3. Step 3: Cross multiply
    122.50x = 169.03 × 78.16
  4. Step 4: Simplify right side
    122.50x = 13,211.80
  5. Step 5: Solve for x
    x = 13,211.80/122.50
  6. Step 6: Final answer
    x = 107.85

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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.