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Finding the Fourth Proportional to 55.05, 82.53 and 37.71

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Solution

The fourth proportional to 55.05, 82.53 and 37.71 is: 56.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.05 : 82.53 = 37.71 : x
  2. Step 2: Convert to fraction form
    55.05/82.53 = 37.71/x
  3. Step 3: Cross multiply
    55.05x = 82.53 × 37.71
  4. Step 4: Simplify right side
    55.05x = 3,112.21
  5. Step 5: Solve for x
    x = 3,112.21/55.05
  6. Step 6: Final answer
    x = 56.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.