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Finding the Fourth Proportional to 47.41, 71.14 and 47.02

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Solution

The fourth proportional to 47.41, 71.14 and 47.02 is: 70.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.41 : 71.14 = 47.02 : x
  2. Step 2: Convert to fraction form
    47.41/71.14 = 47.02/x
  3. Step 3: Cross multiply
    47.41x = 71.14 × 47.02
  4. Step 4: Simplify right side
    47.41x = 3,345.15
  5. Step 5: Solve for x
    x = 3,345.15/47.41
  6. Step 6: Final answer
    x = 70.56

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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.