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Finding the Fourth Proportional to 39.54, 54.52 and 33.00

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Solution

The fourth proportional to 39.54, 54.52 and 33.00 is: 45.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.54 : 54.52 = 33.00 : x
  2. Step 2: Convert to fraction form
    39.54/54.52 = 33.00/x
  3. Step 3: Cross multiply
    39.54x = 54.52 × 33.00
  4. Step 4: Simplify right side
    39.54x = 1,799.06
  5. Step 5: Solve for x
    x = 1,799.06/39.54
  6. Step 6: Final answer
    x = 45.50

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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.