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Finding the Fourth Proportional to 15.78, 23.68 and 8.66

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Solution

The fourth proportional to 15.78, 23.68 and 8.66 is: 13.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.78 : 23.68 = 8.66 : x
  2. Step 2: Convert to fraction form
    15.78/23.68 = 8.66/x
  3. Step 3: Cross multiply
    15.78x = 23.68 × 8.66
  4. Step 4: Simplify right side
    15.78x = 205.07
  5. Step 5: Solve for x
    x = 205.07/15.78
  6. Step 6: Final answer
    x = 13.00

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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.