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Finding the Fourth Proportional to 92.13, 137.98 and 66.41

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Solution

The fourth proportional to 92.13, 137.98 and 66.41 is: 99.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.13 : 137.98 = 66.41 : x
  2. Step 2: Convert to fraction form
    92.13/137.98 = 66.41/x
  3. Step 3: Cross multiply
    92.13x = 137.98 × 66.41
  4. Step 4: Simplify right side
    92.13x = 9,163.25
  5. Step 5: Solve for x
    x = 9,163.25/92.13
  6. Step 6: Final answer
    x = 99.46

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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.