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Finding the Fourth Proportional to 39.00, 53.78 and 32.09

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Solution

The fourth proportional to 39.00, 53.78 and 32.09 is: 44.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.00 : 53.78 = 32.09 : x
  2. Step 2: Convert to fraction form
    39.00/53.78 = 32.09/x
  3. Step 3: Cross multiply
    39.00x = 53.78 × 32.09
  4. Step 4: Simplify right side
    39.00x = 1,725.37
  5. Step 5: Solve for x
    x = 1,725.37/39.00
  6. Step 6: Final answer
    x = 44.24

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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.