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Finding the Fourth Proportional to 76.80, 115.28 and 46.40

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Solution

The fourth proportional to 76.80, 115.28 and 46.40 is: 69.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.80 : 115.28 = 46.40 : x
  2. Step 2: Convert to fraction form
    76.80/115.28 = 46.40/x
  3. Step 3: Cross multiply
    76.80x = 115.28 × 46.40
  4. Step 4: Simplify right side
    76.80x = 5,348.99
  5. Step 5: Solve for x
    x = 5,348.99/76.80
  6. Step 6: Final answer
    x = 69.65

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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.