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Finding the Fourth Proportional to 29.00, 39.97 and 19.64

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Solution

The fourth proportional to 29.00, 39.97 and 19.64 is: 27.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.00 : 39.97 = 19.64 : x
  2. Step 2: Convert to fraction form
    29.00/39.97 = 19.64/x
  3. Step 3: Cross multiply
    29.00x = 39.97 × 19.64
  4. Step 4: Simplify right side
    29.00x = 784.76
  5. Step 5: Solve for x
    x = 784.76/29.00
  6. Step 6: Final answer
    x = 27.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.