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Finding the Fourth Proportional to 91.39, 137.17 and 57.05

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Solution

The fourth proportional to 91.39, 137.17 and 57.05 is: 85.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.39 : 137.17 = 57.05 : x
  2. Step 2: Convert to fraction form
    91.39/137.17 = 57.05/x
  3. Step 3: Cross multiply
    91.39x = 137.17 × 57.05
  4. Step 4: Simplify right side
    91.39x = 7,825.55
  5. Step 5: Solve for x
    x = 7,825.55/91.39
  6. Step 6: Final answer
    x = 85.63

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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.