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Finding the Fourth Proportional to 91.08, 135.99 and 78.94

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Solution

The fourth proportional to 91.08, 135.99 and 78.94 is: 117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.08 : 135.99 = 78.94 : x
  2. Step 2: Convert to fraction form
    91.08/135.99 = 78.94/x
  3. Step 3: Cross multiply
    91.08x = 135.99 × 78.94
  4. Step 4: Simplify right side
    91.08x = 10,735.05
  5. Step 5: Solve for x
    x = 10,735.05/91.08
  6. Step 6: Final answer
    x = 117.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.