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Finding the Fourth Proportional to 24.67, 34.00 and 23.44

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Solution

The fourth proportional to 24.67, 34.00 and 23.44 is: 32.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.67 : 34.00 = 23.44 : x
  2. Step 2: Convert to fraction form
    24.67/34.00 = 23.44/x
  3. Step 3: Cross multiply
    24.67x = 34.00 × 23.44
  4. Step 4: Simplify right side
    24.67x = 797.01
  5. Step 5: Solve for x
    x = 797.01/24.67
  6. Step 6: Final answer
    x = 32.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.