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Finding the Fourth Proportional to 90.50, 135.95 and 83.21

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Solution

The fourth proportional to 90.50, 135.95 and 83.21 is: 124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.50 : 135.95 = 83.21 : x
  2. Step 2: Convert to fraction form
    90.50/135.95 = 83.21/x
  3. Step 3: Cross multiply
    90.50x = 135.95 × 83.21
  4. Step 4: Simplify right side
    90.50x = 11,311.30
  5. Step 5: Solve for x
    x = 11,311.30/90.50
  6. Step 6: Final answer
    x = 124.99

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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.