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Finding the Fourth Proportional to 151.12, 226.54 and 78.90

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Solution

The fourth proportional to 151.12, 226.54 and 78.90 is: 118.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.12 : 226.54 = 78.90 : x
  2. Step 2: Convert to fraction form
    151.12/226.54 = 78.90/x
  3. Step 3: Cross multiply
    151.12x = 226.54 × 78.90
  4. Step 4: Simplify right side
    151.12x = 17,874.01
  5. Step 5: Solve for x
    x = 17,874.01/151.12
  6. Step 6: Final answer
    x = 118.28

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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.