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Finding the Fourth Proportional to 98.68, 135.89 and 96.56

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Solution

The fourth proportional to 98.68, 135.89 and 96.56 is: 132.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.68 : 135.89 = 96.56 : x
  2. Step 2: Convert to fraction form
    98.68/135.89 = 96.56/x
  3. Step 3: Cross multiply
    98.68x = 135.89 × 96.56
  4. Step 4: Simplify right side
    98.68x = 13,120.86
  5. Step 5: Solve for x
    x = 13,120.86/98.68
  6. Step 6: Final answer
    x = 132.97

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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.