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Finding the Fourth Proportional to 169.47, 233.77 and 107.20

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Solution

The fourth proportional to 169.47, 233.77 and 107.20 is: 147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.47 : 233.77 = 107.20 : x
  2. Step 2: Convert to fraction form
    169.47/233.77 = 107.20/x
  3. Step 3: Cross multiply
    169.47x = 233.77 × 107.20
  4. Step 4: Simplify right side
    169.47x = 25,060.14
  5. Step 5: Solve for x
    x = 25,060.14/169.47
  6. Step 6: Final answer
    x = 147.87

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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.