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Finding the Fourth Proportional to 80.15, 120.33 and 56.26

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Solution

The fourth proportional to 80.15, 120.33 and 56.26 is: 84.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.15 : 120.33 = 56.26 : x
  2. Step 2: Convert to fraction form
    80.15/120.33 = 56.26/x
  3. Step 3: Cross multiply
    80.15x = 120.33 × 56.26
  4. Step 4: Simplify right side
    80.15x = 6,769.77
  5. Step 5: Solve for x
    x = 6,769.77/80.15
  6. Step 6: Final answer
    x = 84.46

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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.