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Finding the Fourth Proportional to 130.92, 179.76 and 111.48

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Solution

The fourth proportional to 130.92, 179.76 and 111.48 is: 153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.92 : 179.76 = 111.48 : x
  2. Step 2: Convert to fraction form
    130.92/179.76 = 111.48/x
  3. Step 3: Cross multiply
    130.92x = 179.76 × 111.48
  4. Step 4: Simplify right side
    130.92x = 20,039.64
  5. Step 5: Solve for x
    x = 20,039.64/130.92
  6. Step 6: Final answer
    x = 153.07

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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.