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Finding the Fourth Proportional to 70.27, 97.01 and 41.16

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Solution

The fourth proportional to 70.27, 97.01 and 41.16 is: 56.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.27 : 97.01 = 41.16 : x
  2. Step 2: Convert to fraction form
    70.27/97.01 = 41.16/x
  3. Step 3: Cross multiply
    70.27x = 97.01 × 41.16
  4. Step 4: Simplify right side
    70.27x = 3,992.93
  5. Step 5: Solve for x
    x = 3,992.93/70.27
  6. Step 6: Final answer
    x = 56.82

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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.