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Finding the Fourth Proportional to 72.72, 108.48 and 66.66

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Solution

The fourth proportional to 72.72, 108.48 and 66.66 is: 99.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.72 : 108.48 = 66.66 : x
  2. Step 2: Convert to fraction form
    72.72/108.48 = 66.66/x
  3. Step 3: Cross multiply
    72.72x = 108.48 × 66.66
  4. Step 4: Simplify right side
    72.72x = 7,231.28
  5. Step 5: Solve for x
    x = 7,231.28/72.72
  6. Step 6: Final answer
    x = 99.44

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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.