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Finding the Fourth Proportional to 151.03, 225.77 and 112.15

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Solution

The fourth proportional to 151.03, 225.77 and 112.15 is: 167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.03 : 225.77 = 112.15 : x
  2. Step 2: Convert to fraction form
    151.03/225.77 = 112.15/x
  3. Step 3: Cross multiply
    151.03x = 225.77 × 112.15
  4. Step 4: Simplify right side
    151.03x = 25,320.11
  5. Step 5: Solve for x
    x = 25,320.11/151.03
  6. Step 6: Final answer
    x = 167.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.