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Finding the Fourth Proportional to 97.68, 134.81 and 73.08

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Solution

The fourth proportional to 97.68, 134.81 and 73.08 is: 100.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.68 : 134.81 = 73.08 : x
  2. Step 2: Convert to fraction form
    97.68/134.81 = 73.08/x
  3. Step 3: Cross multiply
    97.68x = 134.81 × 73.08
  4. Step 4: Simplify right side
    97.68x = 9,851.24
  5. Step 5: Solve for x
    x = 9,851.24/97.68
  6. Step 6: Final answer
    x = 100.85

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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.