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Finding the Fourth Proportional to 151.35, 226.95 and 55.14

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Solution

The fourth proportional to 151.35, 226.95 and 55.14 is: 82.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.35 : 226.95 = 55.14 : x
  2. Step 2: Convert to fraction form
    151.35/226.95 = 55.14/x
  3. Step 3: Cross multiply
    151.35x = 226.95 × 55.14
  4. Step 4: Simplify right side
    151.35x = 12,514.02
  5. Step 5: Solve for x
    x = 12,514.02/151.35
  6. Step 6: Final answer
    x = 82.68

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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.