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Finding the Fourth Proportional to 59.42, 82.02 and 37.60

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Solution

The fourth proportional to 59.42, 82.02 and 37.60 is: 51.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.42 : 82.02 = 37.60 : x
  2. Step 2: Convert to fraction form
    59.42/82.02 = 37.60/x
  3. Step 3: Cross multiply
    59.42x = 82.02 × 37.60
  4. Step 4: Simplify right side
    59.42x = 3,084.05
  5. Step 5: Solve for x
    x = 3,084.05/59.42
  6. Step 6: Final answer
    x = 51.90

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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.