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Finding the Fourth Proportional to 65.80, 98.74 and 27.30

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Solution

The fourth proportional to 65.80, 98.74 and 27.30 is: 40.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.80 : 98.74 = 27.30 : x
  2. Step 2: Convert to fraction form
    65.80/98.74 = 27.30/x
  3. Step 3: Cross multiply
    65.80x = 98.74 × 27.30
  4. Step 4: Simplify right side
    65.80x = 2,695.60
  5. Step 5: Solve for x
    x = 2,695.60/65.80
  6. Step 6: Final answer
    x = 40.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.