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Finding the Fourth Proportional to 141.60, 212.14 and 85.92

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Solution

The fourth proportional to 141.60, 212.14 and 85.92 is: 128.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.60 : 212.14 = 85.92 : x
  2. Step 2: Convert to fraction form
    141.60/212.14 = 85.92/x
  3. Step 3: Cross multiply
    141.60x = 212.14 × 85.92
  4. Step 4: Simplify right side
    141.60x = 18,227.07
  5. Step 5: Solve for x
    x = 18,227.07/141.60
  6. Step 6: Final answer
    x = 128.72

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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.