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Finding the Fourth Proportional to 134.55, 185.94 and 101.75

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Solution

The fourth proportional to 134.55, 185.94 and 101.75 is: 140.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.55 : 185.94 = 101.75 : x
  2. Step 2: Convert to fraction form
    134.55/185.94 = 101.75/x
  3. Step 3: Cross multiply
    134.55x = 185.94 × 101.75
  4. Step 4: Simplify right side
    134.55x = 18,918.47
  5. Step 5: Solve for x
    x = 18,918.47/134.55
  6. Step 6: Final answer
    x = 140.61

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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.