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Finding the Fourth Proportional to 96.83, 133.62 and 53.16

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Solution

The fourth proportional to 96.83, 133.62 and 53.16 is: 73.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.83 : 133.62 = 53.16 : x
  2. Step 2: Convert to fraction form
    96.83/133.62 = 53.16/x
  3. Step 3: Cross multiply
    96.83x = 133.62 × 53.16
  4. Step 4: Simplify right side
    96.83x = 7,103.24
  5. Step 5: Solve for x
    x = 7,103.24/96.83
  6. Step 6: Final answer
    x = 73.36

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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.