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Finding the Fourth Proportional to 151.23, 226.88 and 53.75

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Solution

The fourth proportional to 151.23, 226.88 and 53.75 is: 80.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.23 : 226.88 = 53.75 : x
  2. Step 2: Convert to fraction form
    151.23/226.88 = 53.75/x
  3. Step 3: Cross multiply
    151.23x = 226.88 × 53.75
  4. Step 4: Simplify right side
    151.23x = 12,193.40
  5. Step 5: Solve for x
    x = 12,193.40/151.23
  6. Step 6: Final answer
    x = 80.63

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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.