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Finding the Fourth Proportional to 91.99, 137.98 and 31.08

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Solution

The fourth proportional to 91.99, 137.98 and 31.08 is: 46.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.99 : 137.98 = 31.08 : x
  2. Step 2: Convert to fraction form
    91.99/137.98 = 31.08/x
  3. Step 3: Cross multiply
    91.99x = 137.98 × 31.08
  4. Step 4: Simplify right side
    91.99x = 4,288.89
  5. Step 5: Solve for x
    x = 4,288.89/91.99
  6. Step 6: Final answer
    x = 46.63

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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.