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Finding the Fourth Proportional to 60.37, 82.71 and 57.29

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Solution

The fourth proportional to 60.37, 82.71 and 57.29 is: 78.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.37 : 82.71 = 57.29 : x
  2. Step 2: Convert to fraction form
    60.37/82.71 = 57.29/x
  3. Step 3: Cross multiply
    60.37x = 82.71 × 57.29
  4. Step 4: Simplify right side
    60.37x = 4,738.04
  5. Step 5: Solve for x
    x = 4,738.04/60.37
  6. Step 6: Final answer
    x = 78.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.