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Finding the Fourth Proportional to 91.89, 137.97 and 53.41

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Solution

The fourth proportional to 91.89, 137.97 and 53.41 is: 80.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.89 : 137.97 = 53.41 : x
  2. Step 2: Convert to fraction form
    91.89/137.97 = 53.41/x
  3. Step 3: Cross multiply
    91.89x = 137.97 × 53.41
  4. Step 4: Simplify right side
    91.89x = 7,368.98
  5. Step 5: Solve for x
    x = 7,368.98/91.89
  6. Step 6: Final answer
    x = 80.19

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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.