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Finding the Fourth Proportional to 73.46, 110.23 and 37.42

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Solution

The fourth proportional to 73.46, 110.23 and 37.42 is: 56.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.46 : 110.23 = 37.42 : x
  2. Step 2: Convert to fraction form
    73.46/110.23 = 37.42/x
  3. Step 3: Cross multiply
    73.46x = 110.23 × 37.42
  4. Step 4: Simplify right side
    73.46x = 4,124.44
  5. Step 5: Solve for x
    x = 4,124.44/73.46
  6. Step 6: Final answer
    x = 56.14

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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.