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Finding the Fourth Proportional to 97.85, 135.06 and 85.30

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Solution

The fourth proportional to 97.85, 135.06 and 85.30 is: 117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.85 : 135.06 = 85.30 : x
  2. Step 2: Convert to fraction form
    97.85/135.06 = 85.30/x
  3. Step 3: Cross multiply
    97.85x = 135.06 × 85.30
  4. Step 4: Simplify right side
    97.85x = 11,520.62
  5. Step 5: Solve for x
    x = 11,520.62/97.85
  6. Step 6: Final answer
    x = 117.74

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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.