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Finding the Fourth Proportional to 61.36, 83.90 and 59.12

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Solution

The fourth proportional to 61.36, 83.90 and 59.12 is: 80.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.36 : 83.90 = 59.12 : x
  2. Step 2: Convert to fraction form
    61.36/83.90 = 59.12/x
  3. Step 3: Cross multiply
    61.36x = 83.90 × 59.12
  4. Step 4: Simplify right side
    61.36x = 4,960.17
  5. Step 5: Solve for x
    x = 4,960.17/61.36
  6. Step 6: Final answer
    x = 80.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.