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Finding the Fourth Proportional to 169.20, 233.28 and 113.22

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Solution

The fourth proportional to 169.20, 233.28 and 113.22 is: 156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.20 : 233.28 = 113.22 : x
  2. Step 2: Convert to fraction form
    169.20/233.28 = 113.22/x
  3. Step 3: Cross multiply
    169.20x = 233.28 × 113.22
  4. Step 4: Simplify right side
    169.20x = 26,411.96
  5. Step 5: Solve for x
    x = 26,411.96/169.20
  6. Step 6: Final answer
    x = 156.10

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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.