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Finding the Fourth Proportional to 71.06, 97.94 and 57.83

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Solution

The fourth proportional to 71.06, 97.94 and 57.83 is: 79.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.06 : 97.94 = 57.83 : x
  2. Step 2: Convert to fraction form
    71.06/97.94 = 57.83/x
  3. Step 3: Cross multiply
    71.06x = 97.94 × 57.83
  4. Step 4: Simplify right side
    71.06x = 5,663.09
  5. Step 5: Solve for x
    x = 5,663.09/71.06
  6. Step 6: Final answer
    x = 79.70

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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.