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Finding the Fourth Proportional to 101.63, 151.62 and 92.32

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Solution

The fourth proportional to 101.63, 151.62 and 92.32 is: 137.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.63 : 151.62 = 92.32 : x
  2. Step 2: Convert to fraction form
    101.63/151.62 = 92.32/x
  3. Step 3: Cross multiply
    101.63x = 151.62 × 92.32
  4. Step 4: Simplify right side
    101.63x = 13,997.56
  5. Step 5: Solve for x
    x = 13,997.56/101.63
  6. Step 6: Final answer
    x = 137.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.