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Finding the Fourth Proportional to 91.63, 137.41 and 30.75

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Solution

The fourth proportional to 91.63, 137.41 and 30.75 is: 46.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.63 : 137.41 = 30.75 : x
  2. Step 2: Convert to fraction form
    91.63/137.41 = 30.75/x
  3. Step 3: Cross multiply
    91.63x = 137.41 × 30.75
  4. Step 4: Simplify right side
    91.63x = 4,224.94
  5. Step 5: Solve for x
    x = 4,224.94/91.63
  6. Step 6: Final answer
    x = 46.11

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Why These Related Problems?

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