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Finding the Fourth Proportional to 67, 101.01 and 66.04

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Solution

The fourth proportional to 67, 101.01 and 66.04 is: 99.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67 : 101.01 = 66.04 : x
  2. Step 2: Convert to fraction form
    67/101.01 = 66.04/x
  3. Step 3: Cross multiply
    67x = 101.01 × 66.04
  4. Step 4: Simplify right side
    67x = 6,670.70
  5. Step 5: Solve for x
    x = 6,670.70/67
  6. Step 6: Final answer
    x = 99.56

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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.