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Finding the Fourth Proportional to 141.70, 213.40 and 114.70

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Solution

The fourth proportional to 141.70, 213.40 and 114.70 is: 172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.70 : 213.40 = 114.70 : x
  2. Step 2: Convert to fraction form
    141.70/213.40 = 114.70/x
  3. Step 3: Cross multiply
    141.70x = 213.40 × 114.70
  4. Step 4: Simplify right side
    141.70x = 24,476.98
  5. Step 5: Solve for x
    x = 24,476.98/141.70
  6. Step 6: Final answer
    x = 172.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.