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Finding the Fourth Proportional to 104.67, 145.24 and 101.83

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Solution

The fourth proportional to 104.67, 145.24 and 101.83 is: 141.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.67 : 145.24 = 101.83 : x
  2. Step 2: Convert to fraction form
    104.67/145.24 = 101.83/x
  3. Step 3: Cross multiply
    104.67x = 145.24 × 101.83
  4. Step 4: Simplify right side
    104.67x = 14,789.79
  5. Step 5: Solve for x
    x = 14,789.79/104.67
  6. Step 6: Final answer
    x = 141.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.