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Finding the Fourth Proportional to 97.67, 134.93 and 83.36

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Solution

The fourth proportional to 97.67, 134.93 and 83.36 is: 115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.67 : 134.93 = 83.36 : x
  2. Step 2: Convert to fraction form
    97.67/134.93 = 83.36/x
  3. Step 3: Cross multiply
    97.67x = 134.93 × 83.36
  4. Step 4: Simplify right side
    97.67x = 11,247.76
  5. Step 5: Solve for x
    x = 11,247.76/97.67
  6. Step 6: Final answer
    x = 115.16

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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.