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Finding the Fourth Proportional to 61.00, 84.18 and 34.78

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Solution

The fourth proportional to 61.00, 84.18 and 34.78 is: 47.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.00 : 84.18 = 34.78 : x
  2. Step 2: Convert to fraction form
    61.00/84.18 = 34.78/x
  3. Step 3: Cross multiply
    61.00x = 84.18 × 34.78
  4. Step 4: Simplify right side
    61.00x = 2,927.36
  5. Step 5: Solve for x
    x = 2,927.36/61.00
  6. Step 6: Final answer
    x = 47.99

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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.