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Finding the Fourth Proportional to 98.79, 135.99 and 84.21

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Solution

The fourth proportional to 98.79, 135.99 and 84.21 is: 115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.79 : 135.99 = 84.21 : x
  2. Step 2: Convert to fraction form
    98.79/135.99 = 84.21/x
  3. Step 3: Cross multiply
    98.79x = 135.99 × 84.21
  4. Step 4: Simplify right side
    98.79x = 11,451.72
  5. Step 5: Solve for x
    x = 11,451.72/98.79
  6. Step 6: Final answer
    x = 115.92

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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.