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Finding the Fourth Proportional to 90.25, 135.24 and 51.67

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Solution

The fourth proportional to 90.25, 135.24 and 51.67 is: 77.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.25 : 135.24 = 51.67 : x
  2. Step 2: Convert to fraction form
    90.25/135.24 = 51.67/x
  3. Step 3: Cross multiply
    90.25x = 135.24 × 51.67
  4. Step 4: Simplify right side
    90.25x = 6,987.98
  5. Step 5: Solve for x
    x = 6,987.98/90.25
  6. Step 6: Final answer
    x = 77.43

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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.