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Finding the Fourth Proportional to 130.22, 179.64 and 105.62

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Solution

The fourth proportional to 130.22, 179.64 and 105.62 is: 145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.22 : 179.64 = 105.62 : x
  2. Step 2: Convert to fraction form
    130.22/179.64 = 105.62/x
  3. Step 3: Cross multiply
    130.22x = 179.64 × 105.62
  4. Step 4: Simplify right side
    130.22x = 18,974.03
  5. Step 5: Solve for x
    x = 18,974.03/130.22
  6. Step 6: Final answer
    x = 145.70

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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.