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Finding the Fourth Proportional to 59.43, 82 and 42.83

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Solution

The fourth proportional to 59.43, 82 and 42.83 is: 59.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.43 : 82 = 42.83 : x
  2. Step 2: Convert to fraction form
    59.43/82 = 42.83/x
  3. Step 3: Cross multiply
    59.43x = 82 × 42.83
  4. Step 4: Simplify right side
    59.43x = 3,512.06
  5. Step 5: Solve for x
    x = 3,512.06/59.43
  6. Step 6: Final answer
    x = 59.10

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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.