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Finding the Fourth Proportional to 134.16, 185.40 and 108.24

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Solution

The fourth proportional to 134.16, 185.40 and 108.24 is: 149.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.16 : 185.40 = 108.24 : x
  2. Step 2: Convert to fraction form
    134.16/185.40 = 108.24/x
  3. Step 3: Cross multiply
    134.16x = 185.40 × 108.24
  4. Step 4: Simplify right side
    134.16x = 20,067.70
  5. Step 5: Solve for x
    x = 20,067.70/134.16
  6. Step 6: Final answer
    x = 149.58

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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.