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Finding the Fourth Proportional to 97.99, 134.95 and 84.17

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Solution

The fourth proportional to 97.99, 134.95 and 84.17 is: 115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.99 : 134.95 = 84.17 : x
  2. Step 2: Convert to fraction form
    97.99/134.95 = 84.17/x
  3. Step 3: Cross multiply
    97.99x = 134.95 × 84.17
  4. Step 4: Simplify right side
    97.99x = 11,357.65
  5. Step 5: Solve for x
    x = 11,357.65/97.99
  6. Step 6: Final answer
    x = 115.91

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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.