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Finding the Fourth Proportional to 15.80, 23.69 and 10.09

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Solution

The fourth proportional to 15.80, 23.69 and 10.09 is: 15.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.80 : 23.69 = 10.09 : x
  2. Step 2: Convert to fraction form
    15.80/23.69 = 10.09/x
  3. Step 3: Cross multiply
    15.80x = 23.69 × 10.09
  4. Step 4: Simplify right side
    15.80x = 239.01
  5. Step 5: Solve for x
    x = 239.01/15.80
  6. Step 6: Final answer
    x = 15.13

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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.