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Finding the Fourth Proportional to 55.38, 76.41 and 32.06

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Solution

The fourth proportional to 55.38, 76.41 and 32.06 is: 44.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.38 : 76.41 = 32.06 : x
  2. Step 2: Convert to fraction form
    55.38/76.41 = 32.06/x
  3. Step 3: Cross multiply
    55.38x = 76.41 × 32.06
  4. Step 4: Simplify right side
    55.38x = 2,449.70
  5. Step 5: Solve for x
    x = 2,449.70/55.38
  6. Step 6: Final answer
    x = 44.23

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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.