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Finding the Fourth Proportional to 141.12, 212.22 and 123.30

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Solution

The fourth proportional to 141.12, 212.22 and 123.30 is: 185.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.12 : 212.22 = 123.30 : x
  2. Step 2: Convert to fraction form
    141.12/212.22 = 123.30/x
  3. Step 3: Cross multiply
    141.12x = 212.22 × 123.30
  4. Step 4: Simplify right side
    141.12x = 26,166.73
  5. Step 5: Solve for x
    x = 26,166.73/141.12
  6. Step 6: Final answer
    x = 185.42

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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.