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Finding the Fourth Proportional to 130.18, 179.32 and 111.82

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Solution

The fourth proportional to 130.18, 179.32 and 111.82 is: 154.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.18 : 179.32 = 111.82 : x
  2. Step 2: Convert to fraction form
    130.18/179.32 = 111.82/x
  3. Step 3: Cross multiply
    130.18x = 179.32 × 111.82
  4. Step 4: Simplify right side
    130.18x = 20,051.56
  5. Step 5: Solve for x
    x = 20,051.56/130.18
  6. Step 6: Final answer
    x = 154.03

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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.