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Finding the Fourth Proportional to 96.93, 133.64 and 83.77

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Solution

The fourth proportional to 96.93, 133.64 and 83.77 is: 115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.93 : 133.64 = 83.77 : x
  2. Step 2: Convert to fraction form
    96.93/133.64 = 83.77/x
  3. Step 3: Cross multiply
    96.93x = 133.64 × 83.77
  4. Step 4: Simplify right side
    96.93x = 11,195.02
  5. Step 5: Solve for x
    x = 11,195.02/96.93
  6. Step 6: Final answer
    x = 115.50

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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.