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Finding the Fourth Proportional to 73.70, 110.41 and 55.75

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Solution

The fourth proportional to 73.70, 110.41 and 55.75 is: 83.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.70 : 110.41 = 55.75 : x
  2. Step 2: Convert to fraction form
    73.70/110.41 = 55.75/x
  3. Step 3: Cross multiply
    73.70x = 110.41 × 55.75
  4. Step 4: Simplify right side
    73.70x = 6,155.36
  5. Step 5: Solve for x
    x = 6,155.36/73.70
  6. Step 6: Final answer
    x = 83.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.