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Finding the Fourth Proportional to 32.64, 49.01 and 19.13

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Solution

The fourth proportional to 32.64, 49.01 and 19.13 is: 28.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.64 : 49.01 = 19.13 : x
  2. Step 2: Convert to fraction form
    32.64/49.01 = 19.13/x
  3. Step 3: Cross multiply
    32.64x = 49.01 × 19.13
  4. Step 4: Simplify right side
    32.64x = 937.22
  5. Step 5: Solve for x
    x = 937.22/32.64
  6. Step 6: Final answer
    x = 28.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.