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Finding the Fourth Proportional to 66.85, 100.04 and 65.82

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Solution

The fourth proportional to 66.85, 100.04 and 65.82 is: 98.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.85 : 100.04 = 65.82 : x
  2. Step 2: Convert to fraction form
    66.85/100.04 = 65.82/x
  3. Step 3: Cross multiply
    66.85x = 100.04 × 65.82
  4. Step 4: Simplify right side
    66.85x = 6,584.63
  5. Step 5: Solve for x
    x = 6,584.63/66.85
  6. Step 6: Final answer
    x = 98.50

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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.