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Finding the Fourth Proportional to 72.90, 109.76 and 63.98

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Solution

The fourth proportional to 72.90, 109.76 and 63.98 is: 96.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.90 : 109.76 = 63.98 : x
  2. Step 2: Convert to fraction form
    72.90/109.76 = 63.98/x
  3. Step 3: Cross multiply
    72.90x = 109.76 × 63.98
  4. Step 4: Simplify right side
    72.90x = 7,022.44
  5. Step 5: Solve for x
    x = 7,022.44/72.90
  6. Step 6: Final answer
    x = 96.33

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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.