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Finding the Fourth Proportional to 56.31, 84.53 and 37.09

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Solution

The fourth proportional to 56.31, 84.53 and 37.09 is: 55.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.31 : 84.53 = 37.09 : x
  2. Step 2: Convert to fraction form
    56.31/84.53 = 37.09/x
  3. Step 3: Cross multiply
    56.31x = 84.53 × 37.09
  4. Step 4: Simplify right side
    56.31x = 3,135.22
  5. Step 5: Solve for x
    x = 3,135.22/56.31
  6. Step 6: Final answer
    x = 55.68

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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.