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Finding the Fourth Proportional to 73.95, 102.23 and 59.37

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Solution

The fourth proportional to 73.95, 102.23 and 59.37 is: 82.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.95 : 102.23 = 59.37 : x
  2. Step 2: Convert to fraction form
    73.95/102.23 = 59.37/x
  3. Step 3: Cross multiply
    73.95x = 102.23 × 59.37
  4. Step 4: Simplify right side
    73.95x = 6,069.40
  5. Step 5: Solve for x
    x = 6,069.40/73.95
  6. Step 6: Final answer
    x = 82.07

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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.