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Finding the Fourth Proportional to 70.86, 97.78 and 41.76

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Solution

The fourth proportional to 70.86, 97.78 and 41.76 is: 57.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.86 : 97.78 = 41.76 : x
  2. Step 2: Convert to fraction form
    70.86/97.78 = 41.76/x
  3. Step 3: Cross multiply
    70.86x = 97.78 × 41.76
  4. Step 4: Simplify right side
    70.86x = 4,083.29
  5. Step 5: Solve for x
    x = 4,083.29/70.86
  6. Step 6: Final answer
    x = 57.62

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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.