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Finding the Fourth Proportional to 82.96, 114.54 and 51.94

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Solution

The fourth proportional to 82.96, 114.54 and 51.94 is: 71.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.96 : 114.54 = 51.94 : x
  2. Step 2: Convert to fraction form
    82.96/114.54 = 51.94/x
  3. Step 3: Cross multiply
    82.96x = 114.54 × 51.94
  4. Step 4: Simplify right side
    82.96x = 5,949.21
  5. Step 5: Solve for x
    x = 5,949.21/82.96
  6. Step 6: Final answer
    x = 71.71

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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.