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Finding the Fourth Proportional to 61.27, 84.54 and 36.70

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Solution

The fourth proportional to 61.27, 84.54 and 36.70 is: 50.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.27 : 84.54 = 36.70 : x
  2. Step 2: Convert to fraction form
    61.27/84.54 = 36.70/x
  3. Step 3: Cross multiply
    61.27x = 84.54 × 36.70
  4. Step 4: Simplify right side
    61.27x = 3,102.62
  5. Step 5: Solve for x
    x = 3,102.62/61.27
  6. Step 6: Final answer
    x = 50.64

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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.