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Finding the Fourth Proportional to 130.24, 179.50 and 105.74

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Solution

The fourth proportional to 130.24, 179.50 and 105.74 is: 145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.24 : 179.50 = 105.74 : x
  2. Step 2: Convert to fraction form
    130.24/179.50 = 105.74/x
  3. Step 3: Cross multiply
    130.24x = 179.50 × 105.74
  4. Step 4: Simplify right side
    130.24x = 18,980.33
  5. Step 5: Solve for x
    x = 18,980.33/130.24
  6. Step 6: Final answer
    x = 145.73

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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.