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Finding the Fourth Proportional to 15.89, 23.80 and 9.78

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Solution

The fourth proportional to 15.89, 23.80 and 9.78 is: 14.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.89 : 23.80 = 9.78 : x
  2. Step 2: Convert to fraction form
    15.89/23.80 = 9.78/x
  3. Step 3: Cross multiply
    15.89x = 23.80 × 9.78
  4. Step 4: Simplify right side
    15.89x = 232.76
  5. Step 5: Solve for x
    x = 232.76/15.89
  6. Step 6: Final answer
    x = 14.65

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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.