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Finding the Fourth Proportional to 20.16, 29.98 and 19.62

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Solution

The fourth proportional to 20.16, 29.98 and 19.62 is: 29.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.16 : 29.98 = 19.62 : x
  2. Step 2: Convert to fraction form
    20.16/29.98 = 19.62/x
  3. Step 3: Cross multiply
    20.16x = 29.98 × 19.62
  4. Step 4: Simplify right side
    20.16x = 587.96
  5. Step 5: Solve for x
    x = 587.96/20.16
  6. Step 6: Final answer
    x = 29.17

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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.