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Finding the Fourth Proportional to 130.44, 194.88 and 108.84

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Solution

The fourth proportional to 130.44, 194.88 and 108.84 is: 162.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.44 : 194.88 = 108.84 : x
  2. Step 2: Convert to fraction form
    130.44/194.88 = 108.84/x
  3. Step 3: Cross multiply
    130.44x = 194.88 × 108.84
  4. Step 4: Simplify right side
    130.44x = 21,210.74
  5. Step 5: Solve for x
    x = 21,210.74/130.44
  6. Step 6: Final answer
    x = 162.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.