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Finding the Fourth Proportional to 97.96, 147.79 and 92.89

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Solution

The fourth proportional to 97.96, 147.79 and 92.89 is: 140.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.96 : 147.79 = 92.89 : x
  2. Step 2: Convert to fraction form
    97.96/147.79 = 92.89/x
  3. Step 3: Cross multiply
    97.96x = 147.79 × 92.89
  4. Step 4: Simplify right side
    97.96x = 13,728.21
  5. Step 5: Solve for x
    x = 13,728.21/97.96
  6. Step 6: Final answer
    x = 140.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.