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Finding the Fourth Proportional to 169.31, 233.67 and 111.13

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Solution

The fourth proportional to 169.31, 233.67 and 111.13 is: 153.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.31 : 233.67 = 111.13 : x
  2. Step 2: Convert to fraction form
    169.31/233.67 = 111.13/x
  3. Step 3: Cross multiply
    169.31x = 233.67 × 111.13
  4. Step 4: Simplify right side
    169.31x = 25,967.58
  5. Step 5: Solve for x
    x = 25,967.58/169.31
  6. Step 6: Final answer
    x = 153.37

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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.