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Finding the Fourth Proportional to 113.09, 155.36 and 97.49

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Solution

The fourth proportional to 113.09, 155.36 and 97.49 is: 133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.09 : 155.36 = 97.49 : x
  2. Step 2: Convert to fraction form
    113.09/155.36 = 97.49/x
  3. Step 3: Cross multiply
    113.09x = 155.36 × 97.49
  4. Step 4: Simplify right side
    113.09x = 15,144.78
  5. Step 5: Solve for x
    x = 15,144.78/113.09
  6. Step 6: Final answer
    x = 133.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.