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Finding the Fourth Proportional to 135.63, 186.96 and 106.08

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Solution

The fourth proportional to 135.63, 186.96 and 106.08 is: 146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.63 : 186.96 = 106.08 : x
  2. Step 2: Convert to fraction form
    135.63/186.96 = 106.08/x
  3. Step 3: Cross multiply
    135.63x = 186.96 × 106.08
  4. Step 4: Simplify right side
    135.63x = 19,831.62
  5. Step 5: Solve for x
    x = 19,831.62/135.63
  6. Step 6: Final answer
    x = 146.21

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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.