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Finding the Fourth Proportional to 130.34, 179.92 and 80.55

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Solution

The fourth proportional to 130.34, 179.92 and 80.55 is: 111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.34 : 179.92 = 80.55 : x
  2. Step 2: Convert to fraction form
    130.34/179.92 = 80.55/x
  3. Step 3: Cross multiply
    130.34x = 179.92 × 80.55
  4. Step 4: Simplify right side
    130.34x = 14,492.56
  5. Step 5: Solve for x
    x = 14,492.56/130.34
  6. Step 6: Final answer
    x = 111.19

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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.