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Finding the Fourth Proportional to 24.67, 37.01 and 10.23

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Solution

The fourth proportional to 24.67, 37.01 and 10.23 is: 15.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.67 : 37.01 = 10.23 : x
  2. Step 2: Convert to fraction form
    24.67/37.01 = 10.23/x
  3. Step 3: Cross multiply
    24.67x = 37.01 × 10.23
  4. Step 4: Simplify right side
    24.67x = 378.38
  5. Step 5: Solve for x
    x = 378.38/24.67
  6. Step 6: Final answer
    x = 15.34

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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.