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Finding the Fourth Proportional to 104.54, 156.25 and 75.46

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Solution

The fourth proportional to 104.54, 156.25 and 75.46 is: 112.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.54 : 156.25 = 75.46 : x
  2. Step 2: Convert to fraction form
    104.54/156.25 = 75.46/x
  3. Step 3: Cross multiply
    104.54x = 156.25 × 75.46
  4. Step 4: Simplify right side
    104.54x = 11,790.63
  5. Step 5: Solve for x
    x = 11,790.63/104.54
  6. Step 6: Final answer
    x = 112.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.