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Finding the Fourth Proportional to 20.01, 29.85 and 19.74

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Solution

The fourth proportional to 20.01, 29.85 and 19.74 is: 29.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.01 : 29.85 = 19.74 : x
  2. Step 2: Convert to fraction form
    20.01/29.85 = 19.74/x
  3. Step 3: Cross multiply
    20.01x = 29.85 × 19.74
  4. Step 4: Simplify right side
    20.01x = 589.24
  5. Step 5: Solve for x
    x = 589.24/20.01
  6. Step 6: Final answer
    x = 29.45

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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.