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Finding the Fourth Proportional to 50.43, 75.61 and 31.13

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Solution

The fourth proportional to 50.43, 75.61 and 31.13 is: 46.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.43 : 75.61 = 31.13 : x
  2. Step 2: Convert to fraction form
    50.43/75.61 = 31.13/x
  3. Step 3: Cross multiply
    50.43x = 75.61 × 31.13
  4. Step 4: Simplify right side
    50.43x = 2,353.74
  5. Step 5: Solve for x
    x = 2,353.74/50.43
  6. Step 6: Final answer
    x = 46.67

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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.