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Finding the Fourth Proportional to 91.94, 137.14 and 77.33

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Solution

The fourth proportional to 91.94, 137.14 and 77.33 is: 115.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.94 : 137.14 = 77.33 : x
  2. Step 2: Convert to fraction form
    91.94/137.14 = 77.33/x
  3. Step 3: Cross multiply
    91.94x = 137.14 × 77.33
  4. Step 4: Simplify right side
    91.94x = 10,605.19
  5. Step 5: Solve for x
    x = 10,605.19/91.94
  6. Step 6: Final answer
    x = 115.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.