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Finding the Fourth Proportional to 65.66, 98.49 and 20.02

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Solution

The fourth proportional to 65.66, 98.49 and 20.02 is: 30.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.66 : 98.49 = 20.02 : x
  2. Step 2: Convert to fraction form
    65.66/98.49 = 20.02/x
  3. Step 3: Cross multiply
    65.66x = 98.49 × 20.02
  4. Step 4: Simplify right side
    65.66x = 1,971.77
  5. Step 5: Solve for x
    x = 1,971.77/65.66
  6. Step 6: Final answer
    x = 30.03

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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.