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Finding the Fourth Proportional to 169.27, 233.61 and 103.76

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Solution

The fourth proportional to 169.27, 233.61 and 103.76 is: 143.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.27 : 233.61 = 103.76 : x
  2. Step 2: Convert to fraction form
    169.27/233.61 = 103.76/x
  3. Step 3: Cross multiply
    169.27x = 233.61 × 103.76
  4. Step 4: Simplify right side
    169.27x = 24,238.21
  5. Step 5: Solve for x
    x = 24,238.21/169.27
  6. Step 6: Final answer
    x = 143.19

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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.