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Finding the Fourth Proportional to 70.71, 97.56 and 41.19

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Solution

The fourth proportional to 70.71, 97.56 and 41.19 is: 56.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.71 : 97.56 = 41.19 : x
  2. Step 2: Convert to fraction form
    70.71/97.56 = 41.19/x
  3. Step 3: Cross multiply
    70.71x = 97.56 × 41.19
  4. Step 4: Simplify right side
    70.71x = 4,018.34
  5. Step 5: Solve for x
    x = 4,018.34/70.71
  6. Step 6: Final answer
    x = 56.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.