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Finding the Fourth Proportional to 151.40, 226.99 and 53.84

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Solution

The fourth proportional to 151.40, 226.99 and 53.84 is: 80.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.40 : 226.99 = 53.84 : x
  2. Step 2: Convert to fraction form
    151.40/226.99 = 53.84/x
  3. Step 3: Cross multiply
    151.40x = 226.99 × 53.84
  4. Step 4: Simplify right side
    151.40x = 12,221.57
  5. Step 5: Solve for x
    x = 12,221.57/151.40
  6. Step 6: Final answer
    x = 80.72

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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.