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Finding the Fourth Proportional to 91.61, 137.37 and 45.95

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Solution

The fourth proportional to 91.61, 137.37 and 45.95 is: 68.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.61 : 137.37 = 45.95 : x
  2. Step 2: Convert to fraction form
    91.61/137.37 = 45.95/x
  3. Step 3: Cross multiply
    91.61x = 137.37 × 45.95
  4. Step 4: Simplify right side
    91.61x = 6,311.35
  5. Step 5: Solve for x
    x = 6,311.35/91.61
  6. Step 6: Final answer
    x = 68.90

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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.