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Finding the Fourth Proportional to 82.96, 114.37 and 51.87

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Solution

The fourth proportional to 82.96, 114.37 and 51.87 is: 71.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.96 : 114.37 = 51.87 : x
  2. Step 2: Convert to fraction form
    82.96/114.37 = 51.87/x
  3. Step 3: Cross multiply
    82.96x = 114.37 × 51.87
  4. Step 4: Simplify right side
    82.96x = 5,931.91
  5. Step 5: Solve for x
    x = 5,931.91/82.96
  6. Step 6: Final answer
    x = 71.50

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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.