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Finding the Fourth Proportional to 20.15, 29.87 and 20.00

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Solution

The fourth proportional to 20.15, 29.87 and 20.00 is: 29.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.15 : 29.87 = 20.00 : x
  2. Step 2: Convert to fraction form
    20.15/29.87 = 20.00/x
  3. Step 3: Cross multiply
    20.15x = 29.87 × 20.00
  4. Step 4: Simplify right side
    20.15x = 597.28
  5. Step 5: Solve for x
    x = 597.28/20.15
  6. Step 6: Final answer
    x = 29.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.