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Finding the Fourth Proportional to 74.08, 110.42 and 73.84

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Solution

The fourth proportional to 74.08, 110.42 and 73.84 is: 110.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.08 : 110.42 = 73.84 : x
  2. Step 2: Convert to fraction form
    74.08/110.42 = 73.84/x
  3. Step 3: Cross multiply
    74.08x = 110.42 × 73.84
  4. Step 4: Simplify right side
    74.08x = 8,153.41
  5. Step 5: Solve for x
    x = 8,153.41/74.08
  6. Step 6: Final answer
    x = 110.06

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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.