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Finding the Fourth Proportional to 96.99, 132.64 and 96.99

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Solution

The fourth proportional to 96.99, 132.64 and 96.99 is: 132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.99 : 132.64 = 96.99 : x
  2. Step 2: Convert to fraction form
    96.99/132.64 = 96.99/x
  3. Step 3: Cross multiply
    96.99x = 132.64 × 96.99
  4. Step 4: Simplify right side
    96.99x = 12,864.75
  5. Step 5: Solve for x
    x = 12,864.75/96.99
  6. Step 6: Final answer
    x = 132.64

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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.