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Finding the Fourth Proportional to 27.76, 41.68 and 27.76

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Solution

The fourth proportional to 27.76, 41.68 and 27.76 is: 41.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.76 : 41.68 = 27.76 : x
  2. Step 2: Convert to fraction form
    27.76/41.68 = 27.76/x
  3. Step 3: Cross multiply
    27.76x = 41.68 × 27.76
  4. Step 4: Simplify right side
    27.76x = 1,157.04
  5. Step 5: Solve for x
    x = 1,157.04/27.76
  6. Step 6: Final answer
    x = 41.68

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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.