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Finding the Fourth Proportional to 141.46, 195.12 and 86.16

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Solution

The fourth proportional to 141.46, 195.12 and 86.16 is: 118.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.46 : 195.12 = 86.16 : x
  2. Step 2: Convert to fraction form
    141.46/195.12 = 86.16/x
  3. Step 3: Cross multiply
    141.46x = 195.12 × 86.16
  4. Step 4: Simplify right side
    141.46x = 16,811.54
  5. Step 5: Solve for x
    x = 16,811.54/141.46
  6. Step 6: Final answer
    x = 118.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.