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Finding the Fourth Proportional to 120.34, 180.52 and 56.22

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Solution

The fourth proportional to 120.34, 180.52 and 56.22 is: 84.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.34 : 180.52 = 56.22 : x
  2. Step 2: Convert to fraction form
    120.34/180.52 = 56.22/x
  3. Step 3: Cross multiply
    120.34x = 180.52 × 56.22
  4. Step 4: Simplify right side
    120.34x = 10,148.83
  5. Step 5: Solve for x
    x = 10,148.83/120.34
  6. Step 6: Final answer
    x = 84.33

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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.