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Finding the Fourth Proportional to 59.37, 82.13 and 55.50

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Solution

The fourth proportional to 59.37, 82.13 and 55.50 is: 76.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.37 : 82.13 = 55.50 : x
  2. Step 2: Convert to fraction form
    59.37/82.13 = 55.50/x
  3. Step 3: Cross multiply
    59.37x = 82.13 × 55.50
  4. Step 4: Simplify right side
    59.37x = 4,558.22
  5. Step 5: Solve for x
    x = 4,558.22/59.37
  6. Step 6: Final answer
    x = 76.78

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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.