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Finding the Fourth Proportional to 24.32, 36.63 and 22.77

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Solution

The fourth proportional to 24.32, 36.63 and 22.77 is: 34.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.32 : 36.63 = 22.77 : x
  2. Step 2: Convert to fraction form
    24.32/36.63 = 22.77/x
  3. Step 3: Cross multiply
    24.32x = 36.63 × 22.77
  4. Step 4: Simplify right side
    24.32x = 834.07
  5. Step 5: Solve for x
    x = 834.07/24.32
  6. Step 6: Final answer
    x = 34.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.