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Finding the Fourth Proportional to 105.30, 157.93 and 36.82

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Solution

The fourth proportional to 105.30, 157.93 and 36.82 is: 55.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.30 : 157.93 = 36.82 : x
  2. Step 2: Convert to fraction form
    105.30/157.93 = 36.82/x
  3. Step 3: Cross multiply
    105.30x = 157.93 × 36.82
  4. Step 4: Simplify right side
    105.30x = 5,814.98
  5. Step 5: Solve for x
    x = 5,814.98/105.30
  6. Step 6: Final answer
    x = 55.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.