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Finding the Fourth Proportional to 90.50, 135.80 and 89.82

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Solution

The fourth proportional to 90.50, 135.80 and 89.82 is: 134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.50 : 135.80 = 89.82 : x
  2. Step 2: Convert to fraction form
    90.50/135.80 = 89.82/x
  3. Step 3: Cross multiply
    90.50x = 135.80 × 89.82
  4. Step 4: Simplify right side
    90.50x = 12,197.56
  5. Step 5: Solve for x
    x = 12,197.56/90.50
  6. Step 6: Final answer
    x = 134.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.