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Finding the Fourth Proportional to 49.42, 74.12 and 31.40

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Solution

The fourth proportional to 49.42, 74.12 and 31.40 is: 47.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.42 : 74.12 = 31.40 : x
  2. Step 2: Convert to fraction form
    49.42/74.12 = 31.40/x
  3. Step 3: Cross multiply
    49.42x = 74.12 × 31.40
  4. Step 4: Simplify right side
    49.42x = 2,327.37
  5. Step 5: Solve for x
    x = 2,327.37/49.42
  6. Step 6: Final answer
    x = 47.09

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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.