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Finding the Fourth Proportional to 15.76, 23.65 and 8.15

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Solution

The fourth proportional to 15.76, 23.65 and 8.15 is: 12.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.76 : 23.65 = 8.15 : x
  2. Step 2: Convert to fraction form
    15.76/23.65 = 8.15/x
  3. Step 3: Cross multiply
    15.76x = 23.65 × 8.15
  4. Step 4: Simplify right side
    15.76x = 192.75
  5. Step 5: Solve for x
    x = 192.75/15.76
  6. Step 6: Final answer
    x = 12.23

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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.