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Finding the Fourth Proportional to 122.77, 169.32 and 105.45

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Solution

The fourth proportional to 122.77, 169.32 and 105.45 is: 145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.77 : 169.32 = 105.45 : x
  2. Step 2: Convert to fraction form
    122.77/169.32 = 105.45/x
  3. Step 3: Cross multiply
    122.77x = 169.32 × 105.45
  4. Step 4: Simplify right side
    122.77x = 17,854.79
  5. Step 5: Solve for x
    x = 17,854.79/122.77
  6. Step 6: Final answer
    x = 145.43

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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.