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Finding the Fourth Proportional to 47.42, 71.01 and 31.12

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Solution

The fourth proportional to 47.42, 71.01 and 31.12 is: 46.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.42 : 71.01 = 31.12 : x
  2. Step 2: Convert to fraction form
    47.42/71.01 = 31.12/x
  3. Step 3: Cross multiply
    47.42x = 71.01 × 31.12
  4. Step 4: Simplify right side
    47.42x = 2,209.65
  5. Step 5: Solve for x
    x = 2,209.65/47.42
  6. Step 6: Final answer
    x = 46.60

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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.