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Finding the Fourth Proportional to 96.45, 133.30 and 73.13

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Solution

The fourth proportional to 96.45, 133.30 and 73.13 is: 101.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.45 : 133.30 = 73.13 : x
  2. Step 2: Convert to fraction form
    96.45/133.30 = 73.13/x
  3. Step 3: Cross multiply
    96.45x = 133.30 × 73.13
  4. Step 4: Simplify right side
    96.45x = 9,748.05
  5. Step 5: Solve for x
    x = 9,748.05/96.45
  6. Step 6: Final answer
    x = 101.07

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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.