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Finding the Fourth Proportional to 76.52, 114.78 and 22.46

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Solution

The fourth proportional to 76.52, 114.78 and 22.46 is: 33.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.52 : 114.78 = 22.46 : x
  2. Step 2: Convert to fraction form
    76.52/114.78 = 22.46/x
  3. Step 3: Cross multiply
    76.52x = 114.78 × 22.46
  4. Step 4: Simplify right side
    76.52x = 2,577.47
  5. Step 5: Solve for x
    x = 2,577.47/76.52
  6. Step 6: Final answer
    x = 33.68

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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.