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Finding the Fourth Proportional to 61.02, 84.06 and 49.31

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Solution

The fourth proportional to 61.02, 84.06 and 49.31 is: 67.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.02 : 84.06 = 49.31 : x
  2. Step 2: Convert to fraction form
    61.02/84.06 = 49.31/x
  3. Step 3: Cross multiply
    61.02x = 84.06 × 49.31
  4. Step 4: Simplify right side
    61.02x = 4,144.58
  5. Step 5: Solve for x
    x = 4,144.58/61.02
  6. Step 6: Final answer
    x = 67.92

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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.