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Finding the Fourth Proportional to 91.49, 137.14 and 37.34

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Solution

The fourth proportional to 91.49, 137.14 and 37.34 is: 55.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.49 : 137.14 = 37.34 : x
  2. Step 2: Convert to fraction form
    91.49/137.14 = 37.34/x
  3. Step 3: Cross multiply
    91.49x = 137.14 × 37.34
  4. Step 4: Simplify right side
    91.49x = 5,120.81
  5. Step 5: Solve for x
    x = 5,120.81/91.49
  6. Step 6: Final answer
    x = 55.97

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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.