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Finding the Fourth Proportional to 56.09, 84.18 and 52.22

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Solution

The fourth proportional to 56.09, 84.18 and 52.22 is: 78.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.09 : 84.18 = 52.22 : x
  2. Step 2: Convert to fraction form
    56.09/84.18 = 52.22/x
  3. Step 3: Cross multiply
    56.09x = 84.18 × 52.22
  4. Step 4: Simplify right side
    56.09x = 4,395.88
  5. Step 5: Solve for x
    x = 4,395.88/56.09
  6. Step 6: Final answer
    x = 78.37

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