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Finding the Fourth Proportional to 169.22, 233.53 and 103.71

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Solution

The fourth proportional to 169.22, 233.53 and 103.71 is: 143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.22 : 233.53 = 103.71 : x
  2. Step 2: Convert to fraction form
    169.22/233.53 = 103.71/x
  3. Step 3: Cross multiply
    169.22x = 233.53 × 103.71
  4. Step 4: Simplify right side
    169.22x = 24,219.38
  5. Step 5: Solve for x
    x = 24,219.38/169.22
  6. Step 6: Final answer
    x = 143.12

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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.