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Finding the Fourth Proportional to 90.20, 135.85 and 85.88

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Solution

The fourth proportional to 90.20, 135.85 and 85.88 is: 129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.20 : 135.85 = 85.88 : x
  2. Step 2: Convert to fraction form
    90.20/135.85 = 85.88/x
  3. Step 3: Cross multiply
    90.20x = 135.85 × 85.88
  4. Step 4: Simplify right side
    90.20x = 11,666.67
  5. Step 5: Solve for x
    x = 11,666.67/90.20
  6. Step 6: Final answer
    x = 129.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.