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Finding the Fourth Proportional to 99.67, 137.57 and 66.42

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Solution

The fourth proportional to 99.67, 137.57 and 66.42 is: 91.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.67 : 137.57 = 66.42 : x
  2. Step 2: Convert to fraction form
    99.67/137.57 = 66.42/x
  3. Step 3: Cross multiply
    99.67x = 137.57 × 66.42
  4. Step 4: Simplify right side
    99.67x = 9,137.40
  5. Step 5: Solve for x
    x = 9,137.40/99.67
  6. Step 6: Final answer
    x = 91.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.