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Finding the Fourth Proportional to 105.19, 157.70 and 53.82

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Solution

The fourth proportional to 105.19, 157.70 and 53.82 is: 80.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.19 : 157.70 = 53.82 : x
  2. Step 2: Convert to fraction form
    105.19/157.70 = 53.82/x
  3. Step 3: Cross multiply
    105.19x = 157.70 × 53.82
  4. Step 4: Simplify right side
    105.19x = 8,487.55
  5. Step 5: Solve for x
    x = 8,487.55/105.19
  6. Step 6: Final answer
    x = 80.69

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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.