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Finding the Fourth Proportional to 74.54, 103.34 and 73.05

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Solution

The fourth proportional to 74.54, 103.34 and 73.05 is: 101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.54 : 103.34 = 73.05 : x
  2. Step 2: Convert to fraction form
    74.54/103.34 = 73.05/x
  3. Step 3: Cross multiply
    74.54x = 103.34 × 73.05
  4. Step 4: Simplify right side
    74.54x = 7,548.62
  5. Step 5: Solve for x
    x = 7,548.62/74.54
  6. Step 6: Final answer
    x = 101.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.