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Finding the Fourth Proportional to 135.46, 186.81 and 117.06

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Solution

The fourth proportional to 135.46, 186.81 and 117.06 is: 161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.46 : 186.81 = 117.06 : x
  2. Step 2: Convert to fraction form
    135.46/186.81 = 117.06/x
  3. Step 3: Cross multiply
    135.46x = 186.81 × 117.06
  4. Step 4: Simplify right side
    135.46x = 21,867.98
  5. Step 5: Solve for x
    x = 21,867.98/135.46
  6. Step 6: Final answer
    x = 161.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.