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Finding the Fourth Proportional to 122.60, 169.36 and 90.02

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Solution

The fourth proportional to 122.60, 169.36 and 90.02 is: 124.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.60 : 169.36 = 90.02 : x
  2. Step 2: Convert to fraction form
    122.60/169.36 = 90.02/x
  3. Step 3: Cross multiply
    122.60x = 169.36 × 90.02
  4. Step 4: Simplify right side
    122.60x = 15,245.79
  5. Step 5: Solve for x
    x = 15,245.79/122.60
  6. Step 6: Final answer
    x = 124.35

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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.