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Finding the Fourth Proportional to 97.89, 136.02 and 96.75

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Solution

The fourth proportional to 97.89, 136.02 and 96.75 is: 134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.89 : 136.02 = 96.75 : x
  2. Step 2: Convert to fraction form
    97.89/136.02 = 96.75/x
  3. Step 3: Cross multiply
    97.89x = 136.02 × 96.75
  4. Step 4: Simplify right side
    97.89x = 13,159.94
  5. Step 5: Solve for x
    x = 13,159.94/97.89
  6. Step 6: Final answer
    x = 134.44

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.