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Finding the Fourth Proportional to 19.50, 29.24 and 8.66

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Solution

The fourth proportional to 19.50, 29.24 and 8.66 is: 12.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.50 : 29.24 = 8.66 : x
  2. Step 2: Convert to fraction form
    19.50/29.24 = 8.66/x
  3. Step 3: Cross multiply
    19.50x = 29.24 × 8.66
  4. Step 4: Simplify right side
    19.50x = 253.28
  5. Step 5: Solve for x
    x = 253.28/19.50
  6. Step 6: Final answer
    x = 12.99

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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.