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Finding the Fourth Proportional to 24.77, 37.15 and 11.25

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Solution

The fourth proportional to 24.77, 37.15 and 11.25 is: 16.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.77 : 37.15 = 11.25 : x
  2. Step 2: Convert to fraction form
    24.77/37.15 = 11.25/x
  3. Step 3: Cross multiply
    24.77x = 37.15 × 11.25
  4. Step 4: Simplify right side
    24.77x = 418.06
  5. Step 5: Solve for x
    x = 418.06/24.77
  6. Step 6: Final answer
    x = 16.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.