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Finding the Fourth Proportional to 72.95, 100.73 and 65.75

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Solution

The fourth proportional to 72.95, 100.73 and 65.75 is: 90.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.95 : 100.73 = 65.75 : x
  2. Step 2: Convert to fraction form
    72.95/100.73 = 65.75/x
  3. Step 3: Cross multiply
    72.95x = 100.73 × 65.75
  4. Step 4: Simplify right side
    72.95x = 6,622.66
  5. Step 5: Solve for x
    x = 6,622.66/72.95
  6. Step 6: Final answer
    x = 90.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.