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Finding the Fourth Proportional to 26.77, 39.96 and 24.50

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Solution

The fourth proportional to 26.77, 39.96 and 24.50 is: 36.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.77 : 39.96 = 24.50 : x
  2. Step 2: Convert to fraction form
    26.77/39.96 = 24.50/x
  3. Step 3: Cross multiply
    26.77x = 39.96 × 24.50
  4. Step 4: Simplify right side
    26.77x = 979.02
  5. Step 5: Solve for x
    x = 979.02/26.77
  6. Step 6: Final answer
    x = 36.57

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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.