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Finding the Fourth Proportional to 135.31, 186.73 and 73.14

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Solution

The fourth proportional to 135.31, 186.73 and 73.14 is: 100.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.31 : 186.73 = 73.14 : x
  2. Step 2: Convert to fraction form
    135.31/186.73 = 73.14/x
  3. Step 3: Cross multiply
    135.31x = 186.73 × 73.14
  4. Step 4: Simplify right side
    135.31x = 13,657.43
  5. Step 5: Solve for x
    x = 13,657.43/135.31
  6. Step 6: Final answer
    x = 100.93

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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.