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Finding the Fourth Proportional to 91.46, 136.74 and 78.77

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Solution

The fourth proportional to 91.46, 136.74 and 78.77 is: 117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.46 : 136.74 = 78.77 : x
  2. Step 2: Convert to fraction form
    91.46/136.74 = 78.77/x
  3. Step 3: Cross multiply
    91.46x = 136.74 × 78.77
  4. Step 4: Simplify right side
    91.46x = 10,770.62
  5. Step 5: Solve for x
    x = 10,770.62/91.46
  6. Step 6: Final answer
    x = 117.77

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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.