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Finding the Fourth Proportional to 144.64, 199.67 and 95.58

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Solution

The fourth proportional to 144.64, 199.67 and 95.58 is: 131.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.64 : 199.67 = 95.58 : x
  2. Step 2: Convert to fraction form
    144.64/199.67 = 95.58/x
  3. Step 3: Cross multiply
    144.64x = 199.67 × 95.58
  4. Step 4: Simplify right side
    144.64x = 19,083.98
  5. Step 5: Solve for x
    x = 19,083.98/144.64
  6. Step 6: Final answer
    x = 131.95

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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.