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Finding the Fourth Proportional to 91.94, 137.88 and 34.16

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Solution

The fourth proportional to 91.94, 137.88 and 34.16 is: 51.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.94 : 137.88 = 34.16 : x
  2. Step 2: Convert to fraction form
    91.94/137.88 = 34.16/x
  3. Step 3: Cross multiply
    91.94x = 137.88 × 34.16
  4. Step 4: Simplify right side
    91.94x = 4,709.29
  5. Step 5: Solve for x
    x = 4,709.29/91.94
  6. Step 6: Final answer
    x = 51.22

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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.