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Finding the Fourth Proportional to 74.83, 102.72 and 67.54

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Solution

The fourth proportional to 74.83, 102.72 and 67.54 is: 92.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.83 : 102.72 = 67.54 : x
  2. Step 2: Convert to fraction form
    74.83/102.72 = 67.54/x
  3. Step 3: Cross multiply
    74.83x = 102.72 × 67.54
  4. Step 4: Simplify right side
    74.83x = 6,937.71
  5. Step 5: Solve for x
    x = 6,937.71/74.83
  6. Step 6: Final answer
    x = 92.71

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