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Finding the Fourth Proportional to 141.52, 212.40 and 69.46

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Solution

The fourth proportional to 141.52, 212.40 and 69.46 is: 104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.52 : 212.40 = 69.46 : x
  2. Step 2: Convert to fraction form
    141.52/212.40 = 69.46/x
  3. Step 3: Cross multiply
    141.52x = 212.40 × 69.46
  4. Step 4: Simplify right side
    141.52x = 14,753.30
  5. Step 5: Solve for x
    x = 14,753.30/141.52
  6. Step 6: Final answer
    x = 104.25

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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.