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Finding the Fourth Proportional to 169.29, 233.51 and 103.77

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Solution

The fourth proportional to 169.29, 233.51 and 103.77 is: 143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.29 : 233.51 = 103.77 : x
  2. Step 2: Convert to fraction form
    169.29/233.51 = 103.77/x
  3. Step 3: Cross multiply
    169.29x = 233.51 × 103.77
  4. Step 4: Simplify right side
    169.29x = 24,230.81
  5. Step 5: Solve for x
    x = 24,230.81/169.29
  6. Step 6: Final answer
    x = 143.13

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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.