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Finding the Fourth Proportional to 73.53, 110.23 and 27.86

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Solution

The fourth proportional to 73.53, 110.23 and 27.86 is: 41.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.53 : 110.23 = 27.86 : x
  2. Step 2: Convert to fraction form
    73.53/110.23 = 27.86/x
  3. Step 3: Cross multiply
    73.53x = 110.23 × 27.86
  4. Step 4: Simplify right side
    73.53x = 3,070.87
  5. Step 5: Solve for x
    x = 3,070.87/73.53
  6. Step 6: Final answer
    x = 41.77

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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.