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Finding the Fourth Proportional to 59.59, 82.27 and 37.77

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Solution

The fourth proportional to 59.59, 82.27 and 37.77 is: 52.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.59 : 82.27 = 37.77 : x
  2. Step 2: Convert to fraction form
    59.59/82.27 = 37.77/x
  3. Step 3: Cross multiply
    59.59x = 82.27 × 37.77
  4. Step 4: Simplify right side
    59.59x = 3,107.34
  5. Step 5: Solve for x
    x = 3,107.34/59.59
  6. Step 6: Final answer
    x = 52.15

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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.