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Finding the Fourth Proportional to 76.88, 115.52 and 48

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Solution

The fourth proportional to 76.88, 115.52 and 48 is: 72.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.88 : 115.52 = 48 : x
  2. Step 2: Convert to fraction form
    76.88/115.52 = 48/x
  3. Step 3: Cross multiply
    76.88x = 115.52 × 48
  4. Step 4: Simplify right side
    76.88x = 5,544.96
  5. Step 5: Solve for x
    x = 5,544.96/76.88
  6. Step 6: Final answer
    x = 72.12

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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.