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Finding the Fourth Proportional to 61.49, 84.86 and 36.93

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Solution

The fourth proportional to 61.49, 84.86 and 36.93 is: 50.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.49 : 84.86 = 36.93 : x
  2. Step 2: Convert to fraction form
    61.49/84.86 = 36.93/x
  3. Step 3: Cross multiply
    61.49x = 84.86 × 36.93
  4. Step 4: Simplify right side
    61.49x = 3,133.88
  5. Step 5: Solve for x
    x = 3,133.88/61.49
  6. Step 6: Final answer
    x = 50.97

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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.