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Finding the Fourth Proportional to 97.83, 135.08 and 84.15

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Solution

The fourth proportional to 97.83, 135.08 and 84.15 is: 116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.83 : 135.08 = 84.15 : x
  2. Step 2: Convert to fraction form
    97.83/135.08 = 84.15/x
  3. Step 3: Cross multiply
    97.83x = 135.08 × 84.15
  4. Step 4: Simplify right side
    97.83x = 11,366.56
  5. Step 5: Solve for x
    x = 11,366.56/97.83
  6. Step 6: Final answer
    x = 116.19

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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.