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Finding the Fourth Proportional to 73.42, 110.06 and 27.76

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Solution

The fourth proportional to 73.42, 110.06 and 27.76 is: 41.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.42 : 110.06 = 27.76 : x
  2. Step 2: Convert to fraction form
    73.42/110.06 = 27.76/x
  3. Step 3: Cross multiply
    73.42x = 110.06 × 27.76
  4. Step 4: Simplify right side
    73.42x = 3,055.27
  5. Step 5: Solve for x
    x = 3,055.27/73.42
  6. Step 6: Final answer
    x = 41.61

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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.