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Finding the Fourth Proportional to 91.62, 137.21 and 48.17

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Solution

The fourth proportional to 91.62, 137.21 and 48.17 is: 72.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.62 : 137.21 = 48.17 : x
  2. Step 2: Convert to fraction form
    91.62/137.21 = 48.17/x
  3. Step 3: Cross multiply
    91.62x = 137.21 × 48.17
  4. Step 4: Simplify right side
    91.62x = 6,608.48
  5. Step 5: Solve for x
    x = 6,608.48/91.62
  6. Step 6: Final answer
    x = 72.13

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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.