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Finding the Fourth Proportional to 135.71, 186.42 and 117.03

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Solution

The fourth proportional to 135.71, 186.42 and 117.03 is: 160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.71 : 186.42 = 117.03 : x
  2. Step 2: Convert to fraction form
    135.71/186.42 = 117.03/x
  3. Step 3: Cross multiply
    135.71x = 186.42 × 117.03
  4. Step 4: Simplify right side
    135.71x = 21,816.73
  5. Step 5: Solve for x
    x = 21,816.73/135.71
  6. Step 6: Final answer
    x = 160.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.