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Finding the Fourth Proportional to 114.22, 171.21 and 53.39

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Solution

The fourth proportional to 114.22, 171.21 and 53.39 is: 80.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.22 : 171.21 = 53.39 : x
  2. Step 2: Convert to fraction form
    114.22/171.21 = 53.39/x
  3. Step 3: Cross multiply
    114.22x = 171.21 × 53.39
  4. Step 4: Simplify right side
    114.22x = 9,141.53
  5. Step 5: Solve for x
    x = 9,141.53/114.22
  6. Step 6: Final answer
    x = 80.04

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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.