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Finding the Fourth Proportional to 27.12, 40.68 and 23.78

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Solution

The fourth proportional to 27.12, 40.68 and 23.78 is: 35.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.12 : 40.68 = 23.78 : x
  2. Step 2: Convert to fraction form
    27.12/40.68 = 23.78/x
  3. Step 3: Cross multiply
    27.12x = 40.68 × 23.78
  4. Step 4: Simplify right side
    27.12x = 967.17
  5. Step 5: Solve for x
    x = 967.17/27.12
  6. Step 6: Final answer
    x = 35.66

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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.