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Finding the Fourth Proportional to 66.07, 98.97 and 53.83

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Solution

The fourth proportional to 66.07, 98.97 and 53.83 is: 80.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.07 : 98.97 = 53.83 : x
  2. Step 2: Convert to fraction form
    66.07/98.97 = 53.83/x
  3. Step 3: Cross multiply
    66.07x = 98.97 × 53.83
  4. Step 4: Simplify right side
    66.07x = 5,327.56
  5. Step 5: Solve for x
    x = 5,327.56/66.07
  6. Step 6: Final answer
    x = 80.64

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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.