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Finding the Fourth Proportional to 76.22, 114.33 and 24.86

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Solution

The fourth proportional to 76.22, 114.33 and 24.86 is: 37.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.22 : 114.33 = 24.86 : x
  2. Step 2: Convert to fraction form
    76.22/114.33 = 24.86/x
  3. Step 3: Cross multiply
    76.22x = 114.33 × 24.86
  4. Step 4: Simplify right side
    76.22x = 2,841.67
  5. Step 5: Solve for x
    x = 2,841.67/76.22
  6. Step 6: Final answer
    x = 37.28

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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.