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Finding the Fourth Proportional to 105.24, 157.82 and 47.55

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Solution

The fourth proportional to 105.24, 157.82 and 47.55 is: 71.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.24 : 157.82 = 47.55 : x
  2. Step 2: Convert to fraction form
    105.24/157.82 = 47.55/x
  3. Step 3: Cross multiply
    105.24x = 157.82 × 47.55
  4. Step 4: Simplify right side
    105.24x = 7,504.10
  5. Step 5: Solve for x
    x = 7,504.10/105.24
  6. Step 6: Final answer
    x = 71.30

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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.