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Finding the Fourth Proportional to 141.10, 194.68 and 94.50

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Solution

The fourth proportional to 141.10, 194.68 and 94.50 is: 130.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.10 : 194.68 = 94.50 : x
  2. Step 2: Convert to fraction form
    141.10/194.68 = 94.50/x
  3. Step 3: Cross multiply
    141.10x = 194.68 × 94.50
  4. Step 4: Simplify right side
    141.10x = 18,397.26
  5. Step 5: Solve for x
    x = 18,397.26/141.10
  6. Step 6: Final answer
    x = 130.38

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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.