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Finding the Fourth Proportional to 61.06, 84.31 and 37.78

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Solution

The fourth proportional to 61.06, 84.31 and 37.78 is: 52.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.06 : 84.31 = 37.78 : x
  2. Step 2: Convert to fraction form
    61.06/84.31 = 37.78/x
  3. Step 3: Cross multiply
    61.06x = 84.31 × 37.78
  4. Step 4: Simplify right side
    61.06x = 3,184.93
  5. Step 5: Solve for x
    x = 3,184.93/61.06
  6. Step 6: Final answer
    x = 52.16

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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.