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Finding the Fourth Proportional to 122.90, 169.64 and 86.07

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Solution

The fourth proportional to 122.90, 169.64 and 86.07 is: 118.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.90 : 169.64 = 86.07 : x
  2. Step 2: Convert to fraction form
    122.90/169.64 = 86.07/x
  3. Step 3: Cross multiply
    122.90x = 169.64 × 86.07
  4. Step 4: Simplify right side
    122.90x = 14,600.48
  5. Step 5: Solve for x
    x = 14,600.48/122.90
  6. Step 6: Final answer
    x = 118.80

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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.