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Finding the Fourth Proportional to 15.82, 23.72 and 8.70

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Solution

The fourth proportional to 15.82, 23.72 and 8.70 is: 13.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.82 : 23.72 = 8.70 : x
  2. Step 2: Convert to fraction form
    15.82/23.72 = 8.70/x
  3. Step 3: Cross multiply
    15.82x = 23.72 × 8.70
  4. Step 4: Simplify right side
    15.82x = 206.36
  5. Step 5: Solve for x
    x = 206.36/15.82
  6. Step 6: Final answer
    x = 13.04

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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.