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Finding the Fourth Proportional to 91.96, 137.52 and 78.59

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Solution

The fourth proportional to 91.96, 137.52 and 78.59 is: 117.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.96 : 137.52 = 78.59 : x
  2. Step 2: Convert to fraction form
    91.96/137.52 = 78.59/x
  3. Step 3: Cross multiply
    91.96x = 137.52 × 78.59
  4. Step 4: Simplify right side
    91.96x = 10,807.70
  5. Step 5: Solve for x
    x = 10,807.70/91.96
  6. Step 6: Final answer
    x = 117.53

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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.