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Finding the Fourth Proportional to 98.65, 135.80 and 84.81

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Solution

The fourth proportional to 98.65, 135.80 and 84.81 is: 116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.65 : 135.80 = 84.81 : x
  2. Step 2: Convert to fraction form
    98.65/135.80 = 84.81/x
  3. Step 3: Cross multiply
    98.65x = 135.80 × 84.81
  4. Step 4: Simplify right side
    98.65x = 11,516.09
  5. Step 5: Solve for x
    x = 11,516.09/98.65
  6. Step 6: Final answer
    x = 116.74

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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.