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Finding the Fourth Proportional to 169.47, 233.85 and 107.31

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Solution

The fourth proportional to 169.47, 233.85 and 107.31 is: 148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.47 : 233.85 = 107.31 : x
  2. Step 2: Convert to fraction form
    169.47/233.85 = 107.31/x
  3. Step 3: Cross multiply
    169.47x = 233.85 × 107.31
  4. Step 4: Simplify right side
    169.47x = 25,094.44
  5. Step 5: Solve for x
    x = 25,094.44/169.47
  6. Step 6: Final answer
    x = 148.08

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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.