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Finding the Fourth Proportional to 141.21, 212.29 and 114.34

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Solution

The fourth proportional to 141.21, 212.29 and 114.34 is: 171.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.21 : 212.29 = 114.34 : x
  2. Step 2: Convert to fraction form
    141.21/212.29 = 114.34/x
  3. Step 3: Cross multiply
    141.21x = 212.29 × 114.34
  4. Step 4: Simplify right side
    141.21x = 24,273.24
  5. Step 5: Solve for x
    x = 24,273.24/141.21
  6. Step 6: Final answer
    x = 171.89

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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.