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Finding the Fourth Proportional to 71.86, 98.70 and 59.56

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Solution

The fourth proportional to 71.86, 98.70 and 59.56 is: 81.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.86 : 98.70 = 59.56 : x
  2. Step 2: Convert to fraction form
    71.86/98.70 = 59.56/x
  3. Step 3: Cross multiply
    71.86x = 98.70 × 59.56
  4. Step 4: Simplify right side
    71.86x = 5,878.57
  5. Step 5: Solve for x
    x = 5,878.57/71.86
  6. Step 6: Final answer
    x = 81.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.