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Finding the Fourth Proportional to 144.07, 199.12 and 134.95

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Solution

The fourth proportional to 144.07, 199.12 and 134.95 is: 186.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.07 : 199.12 = 134.95 : x
  2. Step 2: Convert to fraction form
    144.07/199.12 = 134.95/x
  3. Step 3: Cross multiply
    144.07x = 199.12 × 134.95
  4. Step 4: Simplify right side
    144.07x = 26,871.24
  5. Step 5: Solve for x
    x = 26,871.24/144.07
  6. Step 6: Final answer
    x = 186.52

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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.