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Finding the Fourth Proportional to 24.66, 36.77 and 23.23

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Solution

The fourth proportional to 24.66, 36.77 and 23.23 is: 34.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.66 : 36.77 = 23.23 : x
  2. Step 2: Convert to fraction form
    24.66/36.77 = 23.23/x
  3. Step 3: Cross multiply
    24.66x = 36.77 × 23.23
  4. Step 4: Simplify right side
    24.66x = 854.17
  5. Step 5: Solve for x
    x = 854.17/24.66
  6. Step 6: Final answer
    x = 34.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.