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Finding the Fourth Proportional to 113.45, 171.09 and 104.54

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Solution

The fourth proportional to 113.45, 171.09 and 104.54 is: 157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.45 : 171.09 = 104.54 : x
  2. Step 2: Convert to fraction form
    113.45/171.09 = 104.54/x
  3. Step 3: Cross multiply
    113.45x = 171.09 × 104.54
  4. Step 4: Simplify right side
    113.45x = 17,884.89
  5. Step 5: Solve for x
    x = 17,884.89/113.45
  6. Step 6: Final answer
    x = 157.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.