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Finding the Fourth Proportional to 169.30, 233.52 and 106.24

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Solution

The fourth proportional to 169.30, 233.52 and 106.24 is: 146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.30 : 233.52 = 106.24 : x
  2. Step 2: Convert to fraction form
    169.30/233.52 = 106.24/x
  3. Step 3: Cross multiply
    169.30x = 233.52 × 106.24
  4. Step 4: Simplify right side
    169.30x = 24,809.16
  5. Step 5: Solve for x
    x = 24,809.16/169.30
  6. Step 6: Final answer
    x = 146.54

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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.