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Finding the Fourth Proportional to 65.80, 98.69 and 20.14

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Solution

The fourth proportional to 65.80, 98.69 and 20.14 is: 30.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.80 : 98.69 = 20.14 : x
  2. Step 2: Convert to fraction form
    65.80/98.69 = 20.14/x
  3. Step 3: Cross multiply
    65.80x = 98.69 × 20.14
  4. Step 4: Simplify right side
    65.80x = 1,987.27
  5. Step 5: Solve for x
    x = 1,987.27/65.80
  6. Step 6: Final answer
    x = 30.20

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