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Finding the Fourth Proportional to 130.06, 179.20 and 116.21

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Solution

The fourth proportional to 130.06, 179.20 and 116.21 is: 160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.06 : 179.20 = 116.21 : x
  2. Step 2: Convert to fraction form
    130.06/179.20 = 116.21/x
  3. Step 3: Cross multiply
    130.06x = 179.20 × 116.21
  4. Step 4: Simplify right side
    130.06x = 20,824.83
  5. Step 5: Solve for x
    x = 20,824.83/130.06
  6. Step 6: Final answer
    x = 160.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.