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Finding the Fourth Proportional to 130.98, 179.79 and 116.40

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Solution

The fourth proportional to 130.98, 179.79 and 116.40 is: 159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.98 : 179.79 = 116.40 : x
  2. Step 2: Convert to fraction form
    130.98/179.79 = 116.40/x
  3. Step 3: Cross multiply
    130.98x = 179.79 × 116.40
  4. Step 4: Simplify right side
    130.98x = 20,927.56
  5. Step 5: Solve for x
    x = 20,927.56/130.98
  6. Step 6: Final answer
    x = 159.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.