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Finding the Fourth Proportional to 61.02, 84.21 and 34.80

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Solution

The fourth proportional to 61.02, 84.21 and 34.80 is: 48.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.02 : 84.21 = 34.80 : x
  2. Step 2: Convert to fraction form
    61.02/84.21 = 34.80/x
  3. Step 3: Cross multiply
    61.02x = 84.21 × 34.80
  4. Step 4: Simplify right side
    61.02x = 2,930.31
  5. Step 5: Solve for x
    x = 2,930.31/61.02
  6. Step 6: Final answer
    x = 48.02

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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.