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Finding the Fourth Proportional to 122.80, 169.48 and 73.02

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Solution

The fourth proportional to 122.80, 169.48 and 73.02 is: 100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.80 : 169.48 = 73.02 : x
  2. Step 2: Convert to fraction form
    122.80/169.48 = 73.02/x
  3. Step 3: Cross multiply
    122.80x = 169.48 × 73.02
  4. Step 4: Simplify right side
    122.80x = 12,374.58
  5. Step 5: Solve for x
    x = 12,374.58/122.80
  6. Step 6: Final answer
    x = 100.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.