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Finding the Fourth Proportional to 98.15, 134.26 and 97.74

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Solution

The fourth proportional to 98.15, 134.26 and 97.74 is: 133.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.15 : 134.26 = 97.74 : x
  2. Step 2: Convert to fraction form
    98.15/134.26 = 97.74/x
  3. Step 3: Cross multiply
    98.15x = 134.26 × 97.74
  4. Step 4: Simplify right side
    98.15x = 13,122.33
  5. Step 5: Solve for x
    x = 13,122.33/98.15
  6. Step 6: Final answer
    x = 133.70

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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.