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Finding the Fourth Proportional to 130.22, 179.63 and 85.33

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Solution

The fourth proportional to 130.22, 179.63 and 85.33 is: 117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.22 : 179.63 = 85.33 : x
  2. Step 2: Convert to fraction form
    130.22/179.63 = 85.33/x
  3. Step 3: Cross multiply
    130.22x = 179.63 × 85.33
  4. Step 4: Simplify right side
    130.22x = 15,327.14
  5. Step 5: Solve for x
    x = 15,327.14/130.22
  6. Step 6: Final answer
    x = 117.71

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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.