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Finding the Fourth Proportional to 49.42, 74.13 and 31.51

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Solution

The fourth proportional to 49.42, 74.13 and 31.51 is: 47.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.42 : 74.13 = 31.51 : x
  2. Step 2: Convert to fraction form
    49.42/74.13 = 31.51/x
  3. Step 3: Cross multiply
    49.42x = 74.13 × 31.51
  4. Step 4: Simplify right side
    49.42x = 2,335.84
  5. Step 5: Solve for x
    x = 2,335.84/49.42
  6. Step 6: Final answer
    x = 47.27

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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.