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Finding the Fourth Proportional to 154.37, 232.62 and 127.91

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Solution

The fourth proportional to 154.37, 232.62 and 127.91 is: 192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.37 : 232.62 = 127.91 : x
  2. Step 2: Convert to fraction form
    154.37/232.62 = 127.91/x
  3. Step 3: Cross multiply
    154.37x = 232.62 × 127.91
  4. Step 4: Simplify right side
    154.37x = 29,754.42
  5. Step 5: Solve for x
    x = 29,754.42/154.37
  6. Step 6: Final answer
    x = 192.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.