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Finding the Fourth Proportional to 141.90, 212.65 and 105.79

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Solution

The fourth proportional to 141.90, 212.65 and 105.79 is: 158.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.90 : 212.65 = 105.79 : x
  2. Step 2: Convert to fraction form
    141.90/212.65 = 105.79/x
  3. Step 3: Cross multiply
    141.90x = 212.65 × 105.79
  4. Step 4: Simplify right side
    141.90x = 22,495.45
  5. Step 5: Solve for x
    x = 22,495.45/141.90
  6. Step 6: Final answer
    x = 158.53

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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.