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Finding the Fourth Proportional to 71.07, 105.83 and 66.69

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Solution

The fourth proportional to 71.07, 105.83 and 66.69 is: 99.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.07 : 105.83 = 66.69 : x
  2. Step 2: Convert to fraction form
    71.07/105.83 = 66.69/x
  3. Step 3: Cross multiply
    71.07x = 105.83 × 66.69
  4. Step 4: Simplify right side
    71.07x = 7,057.97
  5. Step 5: Solve for x
    x = 7,057.97/71.07
  6. Step 6: Final answer
    x = 99.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.