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Finding the Fourth Proportional to 26.76, 39.82 and 25.32

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Solution

The fourth proportional to 26.76, 39.82 and 25.32 is: 37.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.76 : 39.82 = 25.32 : x
  2. Step 2: Convert to fraction form
    26.76/39.82 = 25.32/x
  3. Step 3: Cross multiply
    26.76x = 39.82 × 25.32
  4. Step 4: Simplify right side
    26.76x = 1,008.18
  5. Step 5: Solve for x
    x = 1,008.18/26.76
  6. Step 6: Final answer
    x = 37.67

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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.