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Finding the Fourth Proportional to 130.86, 179.83 and 122.76

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Solution

The fourth proportional to 130.86, 179.83 and 122.76 is: 168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.86 : 179.83 = 122.76 : x
  2. Step 2: Convert to fraction form
    130.86/179.83 = 122.76/x
  3. Step 3: Cross multiply
    130.86x = 179.83 × 122.76
  4. Step 4: Simplify right side
    130.86x = 22,075.93
  5. Step 5: Solve for x
    x = 22,075.93/130.86
  6. Step 6: Final answer
    x = 168.70

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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.