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Finding the Fourth Proportional to 80.55, 120.71 and 46.26

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Solution

The fourth proportional to 80.55, 120.71 and 46.26 is: 69.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.55 : 120.71 = 46.26 : x
  2. Step 2: Convert to fraction form
    80.55/120.71 = 46.26/x
  3. Step 3: Cross multiply
    80.55x = 120.71 × 46.26
  4. Step 4: Simplify right side
    80.55x = 5,583.81
  5. Step 5: Solve for x
    x = 5,583.81/80.55
  6. Step 6: Final answer
    x = 69.32

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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.