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Finding the Fourth Proportional to 59.55, 82.14 and 36.22

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Solution

The fourth proportional to 59.55, 82.14 and 36.22 is: 49.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.55 : 82.14 = 36.22 : x
  2. Step 2: Convert to fraction form
    59.55/82.14 = 36.22/x
  3. Step 3: Cross multiply
    59.55x = 82.14 × 36.22
  4. Step 4: Simplify right side
    59.55x = 2,975.11
  5. Step 5: Solve for x
    x = 2,975.11/59.55
  6. Step 6: Final answer
    x = 49.96

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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.