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Finding the Fourth Proportional to 97.15, 133.95 and 84.01

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Solution

The fourth proportional to 97.15, 133.95 and 84.01 is: 115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.15 : 133.95 = 84.01 : x
  2. Step 2: Convert to fraction form
    97.15/133.95 = 84.01/x
  3. Step 3: Cross multiply
    97.15x = 133.95 × 84.01
  4. Step 4: Simplify right side
    97.15x = 11,253.14
  5. Step 5: Solve for x
    x = 11,253.14/97.15
  6. Step 6: Final answer
    x = 115.83

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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.