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Finding the Fourth Proportional to 74.04, 110.14 and 73.92

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Solution

The fourth proportional to 74.04, 110.14 and 73.92 is: 109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.04 : 110.14 = 73.92 : x
  2. Step 2: Convert to fraction form
    74.04/110.14 = 73.92/x
  3. Step 3: Cross multiply
    74.04x = 110.14 × 73.92
  4. Step 4: Simplify right side
    74.04x = 8,141.55
  5. Step 5: Solve for x
    x = 8,141.55/74.04
  6. Step 6: Final answer
    x = 109.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.