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Finding the Fourth Proportional to 26.87, 40.14 and 23.85

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Solution

The fourth proportional to 26.87, 40.14 and 23.85 is: 35.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.87 : 40.14 = 23.85 : x
  2. Step 2: Convert to fraction form
    26.87/40.14 = 23.85/x
  3. Step 3: Cross multiply
    26.87x = 40.14 × 23.85
  4. Step 4: Simplify right side
    26.87x = 957.34
  5. Step 5: Solve for x
    x = 957.34/26.87
  6. Step 6: Final answer
    x = 35.64

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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.