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Finding the Fourth Proportional to 82.09, 112.96 and 74.33

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Solution

The fourth proportional to 82.09, 112.96 and 74.33 is: 102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.09 : 112.96 = 74.33 : x
  2. Step 2: Convert to fraction form
    82.09/112.96 = 74.33/x
  3. Step 3: Cross multiply
    82.09x = 112.96 × 74.33
  4. Step 4: Simplify right side
    82.09x = 8,396.32
  5. Step 5: Solve for x
    x = 8,396.32/82.09
  6. Step 6: Final answer
    x = 102.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.