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Finding the Fourth Proportional to 74.76, 102.33 and 73.44

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Solution

The fourth proportional to 74.76, 102.33 and 73.44 is: 100.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.76 : 102.33 = 73.44 : x
  2. Step 2: Convert to fraction form
    74.76/102.33 = 73.44/x
  3. Step 3: Cross multiply
    74.76x = 102.33 × 73.44
  4. Step 4: Simplify right side
    74.76x = 7,515.12
  5. Step 5: Solve for x
    x = 7,515.12/74.76
  6. Step 6: Final answer
    x = 100.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.