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Finding the Fourth Proportional to 55.26, 76.24 and 37.81

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Solution

The fourth proportional to 55.26, 76.24 and 37.81 is: 52.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.26 : 76.24 = 37.81 : x
  2. Step 2: Convert to fraction form
    55.26/76.24 = 37.81/x
  3. Step 3: Cross multiply
    55.26x = 76.24 × 37.81
  4. Step 4: Simplify right side
    55.26x = 2,882.63
  5. Step 5: Solve for x
    x = 2,882.63/55.26
  6. Step 6: Final answer
    x = 52.16

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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.