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Finding the Fourth Proportional to 105.24, 157.80 and 53.84

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Solution

The fourth proportional to 105.24, 157.80 and 53.84 is: 80.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.24 : 157.80 = 53.84 : x
  2. Step 2: Convert to fraction form
    105.24/157.80 = 53.84/x
  3. Step 3: Cross multiply
    105.24x = 157.80 × 53.84
  4. Step 4: Simplify right side
    105.24x = 8,495.95
  5. Step 5: Solve for x
    x = 8,495.95/105.24
  6. Step 6: Final answer
    x = 80.73

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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.