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Finding the Fourth Proportional to 26.68, 40.06 and 23.16

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Solution

The fourth proportional to 26.68, 40.06 and 23.16 is: 34.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.68 : 40.06 = 23.16 : x
  2. Step 2: Convert to fraction form
    26.68/40.06 = 23.16/x
  3. Step 3: Cross multiply
    26.68x = 40.06 × 23.16
  4. Step 4: Simplify right side
    26.68x = 927.79
  5. Step 5: Solve for x
    x = 927.79/26.68
  6. Step 6: Final answer
    x = 34.77

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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.