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Finding the Fourth Proportional to 70.86, 106.83 and 66.60

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Solution

The fourth proportional to 70.86, 106.83 and 66.60 is: 100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.86 : 106.83 = 66.60 : x
  2. Step 2: Convert to fraction form
    70.86/106.83 = 66.60/x
  3. Step 3: Cross multiply
    70.86x = 106.83 × 66.60
  4. Step 4: Simplify right side
    70.86x = 7,114.88
  5. Step 5: Solve for x
    x = 7,114.88/70.86
  6. Step 6: Final answer
    x = 100.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.