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Finding the Fourth Proportional to 24.54, 33.63 and 24.14

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Solution

The fourth proportional to 24.54, 33.63 and 24.14 is: 33.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.54 : 33.63 = 24.14 : x
  2. Step 2: Convert to fraction form
    24.54/33.63 = 24.14/x
  3. Step 3: Cross multiply
    24.54x = 33.63 × 24.14
  4. Step 4: Simplify right side
    24.54x = 811.83
  5. Step 5: Solve for x
    x = 811.83/24.54
  6. Step 6: Final answer
    x = 33.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.