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Finding the Fourth Proportional to 98.24, 134.63 and 96.89

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Solution

The fourth proportional to 98.24, 134.63 and 96.89 is: 132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.24 : 134.63 = 96.89 : x
  2. Step 2: Convert to fraction form
    98.24/134.63 = 96.89/x
  3. Step 3: Cross multiply
    98.24x = 134.63 × 96.89
  4. Step 4: Simplify right side
    98.24x = 13,043.14
  5. Step 5: Solve for x
    x = 13,043.14/98.24
  6. Step 6: Final answer
    x = 132.77

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.