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Finding the Fourth Proportional to 47.31, 65.32 and 30.74

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Solution

The fourth proportional to 47.31, 65.32 and 30.74 is: 42.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.31 : 65.32 = 30.74 : x
  2. Step 2: Convert to fraction form
    47.31/65.32 = 30.74/x
  3. Step 3: Cross multiply
    47.31x = 65.32 × 30.74
  4. Step 4: Simplify right side
    47.31x = 2,007.94
  5. Step 5: Solve for x
    x = 2,007.94/47.31
  6. Step 6: Final answer
    x = 42.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.