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Finding the Fourth Proportional to 47.74, 71.47 and 30.64

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Solution

The fourth proportional to 47.74, 71.47 and 30.64 is: 45.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.74 : 71.47 = 30.64 : x
  2. Step 2: Convert to fraction form
    47.74/71.47 = 30.64/x
  3. Step 3: Cross multiply
    47.74x = 71.47 × 30.64
  4. Step 4: Simplify right side
    47.74x = 2,189.69
  5. Step 5: Solve for x
    x = 2,189.69/47.74
  6. Step 6: Final answer
    x = 45.86

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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.