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Finding the Fourth Proportional to 84.05, 115.62 and 74.03

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Solution

The fourth proportional to 84.05, 115.62 and 74.03 is: 101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.05 : 115.62 = 74.03 : x
  2. Step 2: Convert to fraction form
    84.05/115.62 = 74.03/x
  3. Step 3: Cross multiply
    84.05x = 115.62 × 74.03
  4. Step 4: Simplify right side
    84.05x = 8,559.35
  5. Step 5: Solve for x
    x = 8,559.35/84.05
  6. Step 6: Final answer
    x = 101.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.