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Finding the Fourth Proportional to 47.74, 71.70 and 47.02

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Solution

The fourth proportional to 47.74, 71.70 and 47.02 is: 70.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.74 : 71.70 = 47.02 : x
  2. Step 2: Convert to fraction form
    47.74/71.70 = 47.02/x
  3. Step 3: Cross multiply
    47.74x = 71.70 × 47.02
  4. Step 4: Simplify right side
    47.74x = 3,371.33
  5. Step 5: Solve for x
    x = 3,371.33/47.74
  6. Step 6: Final answer
    x = 70.62

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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.