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Finding the Fourth Proportional to 97.13, 133.72 and 84.20

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Solution

The fourth proportional to 97.13, 133.72 and 84.20 is: 115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.13 : 133.72 = 84.20 : x
  2. Step 2: Convert to fraction form
    97.13/133.72 = 84.20/x
  3. Step 3: Cross multiply
    97.13x = 133.72 × 84.20
  4. Step 4: Simplify right side
    97.13x = 11,258.72
  5. Step 5: Solve for x
    x = 11,258.72/97.13
  6. Step 6: Final answer
    x = 115.91

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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.