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Finding the Fourth Proportional to 24.65, 33.94 and 23.91

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Solution

The fourth proportional to 24.65, 33.94 and 23.91 is: 32.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.65 : 33.94 = 23.91 : x
  2. Step 2: Convert to fraction form
    24.65/33.94 = 23.91/x
  3. Step 3: Cross multiply
    24.65x = 33.94 × 23.91
  4. Step 4: Simplify right side
    24.65x = 811.51
  5. Step 5: Solve for x
    x = 811.51/24.65
  6. Step 6: Final answer
    x = 32.92

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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.