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Finding the Fourth Proportional to 90.35, 135.40 and 51.85

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Solution

The fourth proportional to 90.35, 135.40 and 51.85 is: 77.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.35 : 135.40 = 51.85 : x
  2. Step 2: Convert to fraction form
    90.35/135.40 = 51.85/x
  3. Step 3: Cross multiply
    90.35x = 135.40 × 51.85
  4. Step 4: Simplify right side
    90.35x = 7,020.45
  5. Step 5: Solve for x
    x = 7,020.45/90.35
  6. Step 6: Final answer
    x = 77.71

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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.