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Finding the Fourth Proportional to 61.02, 84.16 and 39.14

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Solution

The fourth proportional to 61.02, 84.16 and 39.14 is: 53.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.02 : 84.16 = 39.14 : x
  2. Step 2: Convert to fraction form
    61.02/84.16 = 39.14/x
  3. Step 3: Cross multiply
    61.02x = 84.16 × 39.14
  4. Step 4: Simplify right side
    61.02x = 3,294.02
  5. Step 5: Solve for x
    x = 3,294.02/61.02
  6. Step 6: Final answer
    x = 53.98

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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.