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Finding the Fourth Proportional to 45.76, 68.53 and 27.74

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Solution

The fourth proportional to 45.76, 68.53 and 27.74 is: 41.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.76 : 68.53 = 27.74 : x
  2. Step 2: Convert to fraction form
    45.76/68.53 = 27.74/x
  3. Step 3: Cross multiply
    45.76x = 68.53 × 27.74
  4. Step 4: Simplify right side
    45.76x = 1,901.02
  5. Step 5: Solve for x
    x = 1,901.02/45.76
  6. Step 6: Final answer
    x = 41.54

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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.