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Finding the Fourth Proportional to 122.90, 169.53 and 76.31

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Solution

The fourth proportional to 122.90, 169.53 and 76.31 is: 105.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.90 : 169.53 = 76.31 : x
  2. Step 2: Convert to fraction form
    122.90/169.53 = 76.31/x
  3. Step 3: Cross multiply
    122.90x = 169.53 × 76.31
  4. Step 4: Simplify right side
    122.90x = 12,935.99
  5. Step 5: Solve for x
    x = 12,935.99/122.90
  6. Step 6: Final answer
    x = 105.26

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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.