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Finding the Fourth Proportional to 57.14, 86.10 and 47.22

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Solution

The fourth proportional to 57.14, 86.10 and 47.22 is: 71.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.14 : 86.10 = 47.22 : x
  2. Step 2: Convert to fraction form
    57.14/86.10 = 47.22/x
  3. Step 3: Cross multiply
    57.14x = 86.10 × 47.22
  4. Step 4: Simplify right side
    57.14x = 4,065.64
  5. Step 5: Solve for x
    x = 4,065.64/57.14
  6. Step 6: Final answer
    x = 71.15

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Why These Related Problems?

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