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Finding the Fourth Proportional to 74.10, 110.22 and 67.98

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Solution

The fourth proportional to 74.10, 110.22 and 67.98 is: 101.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.10 : 110.22 = 67.98 : x
  2. Step 2: Convert to fraction form
    74.10/110.22 = 67.98/x
  3. Step 3: Cross multiply
    74.10x = 110.22 × 67.98
  4. Step 4: Simplify right side
    74.10x = 7,492.76
  5. Step 5: Solve for x
    x = 7,492.76/74.10
  6. Step 6: Final answer
    x = 101.12

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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.