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Finding the Fourth Proportional to 97.72, 147.45 and 93.97

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Solution

The fourth proportional to 97.72, 147.45 and 93.97 is: 141.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.72 : 147.45 = 93.97 : x
  2. Step 2: Convert to fraction form
    97.72/147.45 = 93.97/x
  3. Step 3: Cross multiply
    97.72x = 147.45 × 93.97
  4. Step 4: Simplify right side
    97.72x = 13,855.88
  5. Step 5: Solve for x
    x = 13,855.88/97.72
  6. Step 6: Final answer
    x = 141.79

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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.