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Finding the Fourth Proportional to 73.48, 110.21 and 27.82

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Solution

The fourth proportional to 73.48, 110.21 and 27.82 is: 41.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.48 : 110.21 = 27.82 : x
  2. Step 2: Convert to fraction form
    73.48/110.21 = 27.82/x
  3. Step 3: Cross multiply
    73.48x = 110.21 × 27.82
  4. Step 4: Simplify right side
    73.48x = 3,065.65
  5. Step 5: Solve for x
    x = 3,065.65/73.48
  6. Step 6: Final answer
    x = 41.72

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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.