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Finding the Fourth Proportional to 47.22, 71.15 and 46

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Solution

The fourth proportional to 47.22, 71.15 and 46 is: 69.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.22 : 71.15 = 46 : x
  2. Step 2: Convert to fraction form
    47.22/71.15 = 46/x
  3. Step 3: Cross multiply
    47.22x = 71.15 × 46
  4. Step 4: Simplify right side
    47.22x = 3,272.90
  5. Step 5: Solve for x
    x = 3,272.90/47.22
  6. Step 6: Final answer
    x = 69.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.