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Finding the Fourth Proportional to 91.96, 137.67 and 70.39

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Solution

The fourth proportional to 91.96, 137.67 and 70.39 is: 105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.96 : 137.67 = 70.39 : x
  2. Step 2: Convert to fraction form
    91.96/137.67 = 70.39/x
  3. Step 3: Cross multiply
    91.96x = 137.67 × 70.39
  4. Step 4: Simplify right side
    91.96x = 9,691.48
  5. Step 5: Solve for x
    x = 9,691.48/91.96
  6. Step 6: Final answer
    x = 105.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.