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Finding the Fourth Proportional to 77.30, 115.28 and 75.02

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Solution

The fourth proportional to 77.30, 115.28 and 75.02 is: 111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.30 : 115.28 = 75.02 : x
  2. Step 2: Convert to fraction form
    77.30/115.28 = 75.02/x
  3. Step 3: Cross multiply
    77.30x = 115.28 × 75.02
  4. Step 4: Simplify right side
    77.30x = 8,647.92
  5. Step 5: Solve for x
    x = 8,647.92/77.30
  6. Step 6: Final answer
    x = 111.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.