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Finding the Fourth Proportional to 144.57, 199.65 and 92.22

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Solution

The fourth proportional to 144.57, 199.65 and 92.22 is: 127.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.57 : 199.65 = 92.22 : x
  2. Step 2: Convert to fraction form
    144.57/199.65 = 92.22/x
  3. Step 3: Cross multiply
    144.57x = 199.65 × 92.22
  4. Step 4: Simplify right side
    144.57x = 18,411.32
  5. Step 5: Solve for x
    x = 18,411.32/144.57
  6. Step 6: Final answer
    x = 127.35

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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.