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Finding the Fourth Proportional to 26.68, 39.81 and 24.10

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Solution

The fourth proportional to 26.68, 39.81 and 24.10 is: 35.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.68 : 39.81 = 24.10 : x
  2. Step 2: Convert to fraction form
    26.68/39.81 = 24.10/x
  3. Step 3: Cross multiply
    26.68x = 39.81 × 24.10
  4. Step 4: Simplify right side
    26.68x = 959.42
  5. Step 5: Solve for x
    x = 959.42/26.68
  6. Step 6: Final answer
    x = 35.96

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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.