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Finding the Fourth Proportional to 113.28, 169.04 and 102.80

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Solution

The fourth proportional to 113.28, 169.04 and 102.80 is: 153.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.28 : 169.04 = 102.80 : x
  2. Step 2: Convert to fraction form
    113.28/169.04 = 102.80/x
  3. Step 3: Cross multiply
    113.28x = 169.04 × 102.80
  4. Step 4: Simplify right side
    113.28x = 17,377.31
  5. Step 5: Solve for x
    x = 17,377.31/113.28
  6. Step 6: Final answer
    x = 153.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.