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Finding the Fourth Proportional to 122.92, 169.34 and 101.05

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Solution

The fourth proportional to 122.92, 169.34 and 101.05 is: 139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.92 : 169.34 = 101.05 : x
  2. Step 2: Convert to fraction form
    122.92/169.34 = 101.05/x
  3. Step 3: Cross multiply
    122.92x = 169.34 × 101.05
  4. Step 4: Simplify right side
    122.92x = 17,111.45
  5. Step 5: Solve for x
    x = 17,111.45/122.92
  6. Step 6: Final answer
    x = 139.21

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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.