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Finding the Fourth Proportional to 76.23, 114.32 and 24.86

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Solution

The fourth proportional to 76.23, 114.32 and 24.86 is: 37.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.23 : 114.32 = 24.86 : x
  2. Step 2: Convert to fraction form
    76.23/114.32 = 24.86/x
  3. Step 3: Cross multiply
    76.23x = 114.32 × 24.86
  4. Step 4: Simplify right side
    76.23x = 2,841.30
  5. Step 5: Solve for x
    x = 2,841.30/76.23
  6. Step 6: Final answer
    x = 37.27

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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.