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Finding the Fourth Proportional to 72.70, 108.38 and 69.46

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Solution

The fourth proportional to 72.70, 108.38 and 69.46 is: 103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.70 : 108.38 = 69.46 : x
  2. Step 2: Convert to fraction form
    72.70/108.38 = 69.46/x
  3. Step 3: Cross multiply
    72.70x = 108.38 × 69.46
  4. Step 4: Simplify right side
    72.70x = 7,528.07
  5. Step 5: Solve for x
    x = 7,528.07/72.70
  6. Step 6: Final answer
    x = 103.55

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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.