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Finding the Fourth Proportional to 74.45, 110.84 and 74.11

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Solution

The fourth proportional to 74.45, 110.84 and 74.11 is: 110.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.45 : 110.84 = 74.11 : x
  2. Step 2: Convert to fraction form
    74.45/110.84 = 74.11/x
  3. Step 3: Cross multiply
    74.45x = 110.84 × 74.11
  4. Step 4: Simplify right side
    74.45x = 8,214.35
  5. Step 5: Solve for x
    x = 8,214.35/74.45
  6. Step 6: Final answer
    x = 110.33

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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.