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Finding the Fourth Proportional to 15.75, 23.65 and 9.78

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Solution

The fourth proportional to 15.75, 23.65 and 9.78 is: 14.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.75 : 23.65 = 9.78 : x
  2. Step 2: Convert to fraction form
    15.75/23.65 = 9.78/x
  3. Step 3: Cross multiply
    15.75x = 23.65 × 9.78
  4. Step 4: Simplify right side
    15.75x = 231.27
  5. Step 5: Solve for x
    x = 231.27/15.75
  6. Step 6: Final answer
    x = 14.68

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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.