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Finding the Fourth Proportional to 15.20, 22.78 and 9.78

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Solution

The fourth proportional to 15.20, 22.78 and 9.78 is: 14.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.20 : 22.78 = 9.78 : x
  2. Step 2: Convert to fraction form
    15.20/22.78 = 9.78/x
  3. Step 3: Cross multiply
    15.20x = 22.78 × 9.78
  4. Step 4: Simplify right side
    15.20x = 222.71
  5. Step 5: Solve for x
    x = 222.71/15.20
  6. Step 6: Final answer
    x = 14.66

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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.