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Finding the Fourth Proportional to 61.05, 84.23 and 47.22

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Solution

The fourth proportional to 61.05, 84.23 and 47.22 is: 65.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.05 : 84.23 = 47.22 : x
  2. Step 2: Convert to fraction form
    61.05/84.23 = 47.22/x
  3. Step 3: Cross multiply
    61.05x = 84.23 × 47.22
  4. Step 4: Simplify right side
    61.05x = 3,977.10
  5. Step 5: Solve for x
    x = 3,977.10/61.05
  6. Step 6: Final answer
    x = 65.15

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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.