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Finding the Fourth Proportional to 31.77, 47.62 and 10.38

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Solution

The fourth proportional to 31.77, 47.62 and 10.38 is: 15.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.77 : 47.62 = 10.38 : x
  2. Step 2: Convert to fraction form
    31.77/47.62 = 10.38/x
  3. Step 3: Cross multiply
    31.77x = 47.62 × 10.38
  4. Step 4: Simplify right side
    31.77x = 494.03
  5. Step 5: Solve for x
    x = 494.03/31.77
  6. Step 6: Final answer
    x = 15.55

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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.