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Finding the Fourth Proportional to 26.87, 39.75 and 26.77

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Solution

The fourth proportional to 26.87, 39.75 and 26.77 is: 39.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.87 : 39.75 = 26.77 : x
  2. Step 2: Convert to fraction form
    26.87/39.75 = 26.77/x
  3. Step 3: Cross multiply
    26.87x = 39.75 × 26.77
  4. Step 4: Simplify right side
    26.87x = 1,064.11
  5. Step 5: Solve for x
    x = 1,064.11/26.87
  6. Step 6: Final answer
    x = 39.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.