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Finding the Fourth Proportional to 141.84, 195.72 and 97.62

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Solution

The fourth proportional to 141.84, 195.72 and 97.62 is: 134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.84 : 195.72 = 97.62 : x
  2. Step 2: Convert to fraction form
    141.84/195.72 = 97.62/x
  3. Step 3: Cross multiply
    141.84x = 195.72 × 97.62
  4. Step 4: Simplify right side
    141.84x = 19,106.19
  5. Step 5: Solve for x
    x = 19,106.19/141.84
  6. Step 6: Final answer
    x = 134.70

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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.