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Finding the Fourth Proportional to 98.79, 136.14 and 84.83

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Solution

The fourth proportional to 98.79, 136.14 and 84.83 is: 116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.79 : 136.14 = 84.83 : x
  2. Step 2: Convert to fraction form
    98.79/136.14 = 84.83/x
  3. Step 3: Cross multiply
    98.79x = 136.14 × 84.83
  4. Step 4: Simplify right side
    98.79x = 11,548.08
  5. Step 5: Solve for x
    x = 11,548.08/98.79
  6. Step 6: Final answer
    x = 116.90

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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.