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Finding the Fourth Proportional to 149.86, 224.80 and 53.68

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Solution

The fourth proportional to 149.86, 224.80 and 53.68 is: 80.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.86 : 224.80 = 53.68 : x
  2. Step 2: Convert to fraction form
    149.86/224.80 = 53.68/x
  3. Step 3: Cross multiply
    149.86x = 224.80 × 53.68
  4. Step 4: Simplify right side
    149.86x = 12,067.26
  5. Step 5: Solve for x
    x = 12,067.26/149.86
  6. Step 6: Final answer
    x = 80.52

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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.