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Finding the Fourth Proportional to 49.46, 74.21 and 31.46

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Solution

The fourth proportional to 49.46, 74.21 and 31.46 is: 47.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.46 : 74.21 = 31.46 : x
  2. Step 2: Convert to fraction form
    49.46/74.21 = 31.46/x
  3. Step 3: Cross multiply
    49.46x = 74.21 × 31.46
  4. Step 4: Simplify right side
    49.46x = 2,334.12
  5. Step 5: Solve for x
    x = 2,334.12/49.46
  6. Step 6: Final answer
    x = 47.20

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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.