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Finding the Fourth Proportional to 24.25, 33.49 and 24.10

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Solution

The fourth proportional to 24.25, 33.49 and 24.10 is: 33.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.25 : 33.49 = 24.10 : x
  2. Step 2: Convert to fraction form
    24.25/33.49 = 24.10/x
  3. Step 3: Cross multiply
    24.25x = 33.49 × 24.10
  4. Step 4: Simplify right side
    24.25x = 807.11
  5. Step 5: Solve for x
    x = 807.11/24.25
  6. Step 6: Final answer
    x = 33.28

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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.