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Finding the Fourth Proportional to 69.18, 104.31 and 64.54

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Solution

The fourth proportional to 69.18, 104.31 and 64.54 is: 97.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.18 : 104.31 = 64.54 : x
  2. Step 2: Convert to fraction form
    69.18/104.31 = 64.54/x
  3. Step 3: Cross multiply
    69.18x = 104.31 × 64.54
  4. Step 4: Simplify right side
    69.18x = 6,731.84
  5. Step 5: Solve for x
    x = 6,731.84/69.18
  6. Step 6: Final answer
    x = 97.31

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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.