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Finding the Fourth Proportional to 73.70, 110.75 and 41.23

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Solution

The fourth proportional to 73.70, 110.75 and 41.23 is: 61.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.70 : 110.75 = 41.23 : x
  2. Step 2: Convert to fraction form
    73.70/110.75 = 41.23/x
  3. Step 3: Cross multiply
    73.70x = 110.75 × 41.23
  4. Step 4: Simplify right side
    73.70x = 4,566.22
  5. Step 5: Solve for x
    x = 4,566.22/73.70
  6. Step 6: Final answer
    x = 61.96

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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.