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Finding the Fourth Proportional to 76.76, 115.14 and 52.54

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Solution

The fourth proportional to 76.76, 115.14 and 52.54 is: 78.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.76 : 115.14 = 52.54 : x
  2. Step 2: Convert to fraction form
    76.76/115.14 = 52.54/x
  3. Step 3: Cross multiply
    76.76x = 115.14 × 52.54
  4. Step 4: Simplify right side
    76.76x = 6,049.46
  5. Step 5: Solve for x
    x = 6,049.46/76.76
  6. Step 6: Final answer
    x = 78.81

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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.