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Finding the Fourth Proportional to 96.00, 132.49 and 52.34

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Solution

The fourth proportional to 96.00, 132.49 and 52.34 is: 72.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.00 : 132.49 = 52.34 : x
  2. Step 2: Convert to fraction form
    96.00/132.49 = 52.34/x
  3. Step 3: Cross multiply
    96.00x = 132.49 × 52.34
  4. Step 4: Simplify right side
    96.00x = 6,934.30
  5. Step 5: Solve for x
    x = 6,934.30/96.00
  6. Step 6: Final answer
    x = 72.23

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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.