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Finding the Fourth Proportional to 20.66, 30.74 and 20.16

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Solution

The fourth proportional to 20.66, 30.74 and 20.16 is: 30.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.66 : 30.74 = 20.16 : x
  2. Step 2: Convert to fraction form
    20.66/30.74 = 20.16/x
  3. Step 3: Cross multiply
    20.66x = 30.74 × 20.16
  4. Step 4: Simplify right side
    20.66x = 619.62
  5. Step 5: Solve for x
    x = 619.62/20.66
  6. Step 6: Final answer
    x = 30.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.