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Finding the Fourth Proportional to 141.93, 212.72 and 107.07

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Solution

The fourth proportional to 141.93, 212.72 and 107.07 is: 160.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.93 : 212.72 = 107.07 : x
  2. Step 2: Convert to fraction form
    141.93/212.72 = 107.07/x
  3. Step 3: Cross multiply
    141.93x = 212.72 × 107.07
  4. Step 4: Simplify right side
    141.93x = 22,775.40
  5. Step 5: Solve for x
    x = 22,775.40/141.93
  6. Step 6: Final answer
    x = 160.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.