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Finding the Fourth Proportional to 100, 137.97 and 60.66

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Solution

The fourth proportional to 100, 137.97 and 60.66 is: 83.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100 : 137.97 = 60.66 : x
  2. Step 2: Convert to fraction form
    100/137.97 = 60.66/x
  3. Step 3: Cross multiply
    100x = 137.97 × 60.66
  4. Step 4: Simplify right side
    100x = 8,369.26
  5. Step 5: Solve for x
    x = 8,369.26/100
  6. Step 6: Final answer
    x = 83.69

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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.