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Finding the Fourth Proportional to 24.12, 33.17 and 23.63

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Solution

The fourth proportional to 24.12, 33.17 and 23.63 is: 32.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.12 : 33.17 = 23.63 : x
  2. Step 2: Convert to fraction form
    24.12/33.17 = 23.63/x
  3. Step 3: Cross multiply
    24.12x = 33.17 × 23.63
  4. Step 4: Simplify right side
    24.12x = 783.52
  5. Step 5: Solve for x
    x = 783.52/24.12
  6. Step 6: Final answer
    x = 32.48

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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.