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Finding the Fourth Proportional to 74.98, 111.82 and 70.90

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Solution

The fourth proportional to 74.98, 111.82 and 70.90 is: 105.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.98 : 111.82 = 70.90 : x
  2. Step 2: Convert to fraction form
    74.98/111.82 = 70.90/x
  3. Step 3: Cross multiply
    74.98x = 111.82 × 70.90
  4. Step 4: Simplify right side
    74.98x = 7,927.68
  5. Step 5: Solve for x
    x = 7,927.68/74.98
  6. Step 6: Final answer
    x = 105.73

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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.