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Finding the Fourth Proportional to 91.72, 137.54 and 30.83

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Solution

The fourth proportional to 91.72, 137.54 and 30.83 is: 46.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.72 : 137.54 = 30.83 : x
  2. Step 2: Convert to fraction form
    91.72/137.54 = 30.83/x
  3. Step 3: Cross multiply
    91.72x = 137.54 × 30.83
  4. Step 4: Simplify right side
    91.72x = 4,240.36
  5. Step 5: Solve for x
    x = 4,240.36/91.72
  6. Step 6: Final answer
    x = 46.23

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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.