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Finding the Fourth Proportional to 26.64, 39.90 and 23.76

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Solution

The fourth proportional to 26.64, 39.90 and 23.76 is: 35.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.64 : 39.90 = 23.76 : x
  2. Step 2: Convert to fraction form
    26.64/39.90 = 23.76/x
  3. Step 3: Cross multiply
    26.64x = 39.90 × 23.76
  4. Step 4: Simplify right side
    26.64x = 948.02
  5. Step 5: Solve for x
    x = 948.02/26.64
  6. Step 6: Final answer
    x = 35.59

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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.