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Finding the Fourth Proportional to 57.83, 87.04 and 43.46

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Solution

The fourth proportional to 57.83, 87.04 and 43.46 is: 65.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.83 : 87.04 = 43.46 : x
  2. Step 2: Convert to fraction form
    57.83/87.04 = 43.46/x
  3. Step 3: Cross multiply
    57.83x = 87.04 × 43.46
  4. Step 4: Simplify right side
    57.83x = 3,782.54
  5. Step 5: Solve for x
    x = 3,782.54/57.83
  6. Step 6: Final answer
    x = 65.41

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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.