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Finding the Fourth Proportional to 66.80, 100.16 and 52.56

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Solution

The fourth proportional to 66.80, 100.16 and 52.56 is: 78.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.80 : 100.16 = 52.56 : x
  2. Step 2: Convert to fraction form
    66.80/100.16 = 52.56/x
  3. Step 3: Cross multiply
    66.80x = 100.16 × 52.56
  4. Step 4: Simplify right side
    66.80x = 5,264.41
  5. Step 5: Solve for x
    x = 5,264.41/66.80
  6. Step 6: Final answer
    x = 78.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.