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Finding the Fourth Proportional to 40, 55.04 and 38.52

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Solution

The fourth proportional to 40, 55.04 and 38.52 is: 53.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    40 : 55.04 = 38.52 : x
  2. Step 2: Convert to fraction form
    40/55.04 = 38.52/x
  3. Step 3: Cross multiply
    40x = 55.04 × 38.52
  4. Step 4: Simplify right side
    40x = 2,120.14
  5. Step 5: Solve for x
    x = 2,120.14/40
  6. Step 6: Final answer
    x = 53.00

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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.