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Finding the Fourth Proportional to 57.71, 86.53 and 30.31

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Solution

The fourth proportional to 57.71, 86.53 and 30.31 is: 45.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.71 : 86.53 = 30.31 : x
  2. Step 2: Convert to fraction form
    57.71/86.53 = 30.31/x
  3. Step 3: Cross multiply
    57.71x = 86.53 × 30.31
  4. Step 4: Simplify right side
    57.71x = 2,622.72
  5. Step 5: Solve for x
    x = 2,622.72/57.71
  6. Step 6: Final answer
    x = 45.45

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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.