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Finding the Fourth Proportional to 97.72, 134.67 and 73.11

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Solution

The fourth proportional to 97.72, 134.67 and 73.11 is: 100.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.72 : 134.67 = 73.11 : x
  2. Step 2: Convert to fraction form
    97.72/134.67 = 73.11/x
  3. Step 3: Cross multiply
    97.72x = 134.67 × 73.11
  4. Step 4: Simplify right side
    97.72x = 9,845.72
  5. Step 5: Solve for x
    x = 9,845.72/97.72
  6. Step 6: Final answer
    x = 100.75

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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.