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Finding the Fourth Proportional to 82.90, 114.42 and 51.83

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Solution

The fourth proportional to 82.90, 114.42 and 51.83 is: 71.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.90 : 114.42 = 51.83 : x
  2. Step 2: Convert to fraction form
    82.90/114.42 = 51.83/x
  3. Step 3: Cross multiply
    82.90x = 114.42 × 51.83
  4. Step 4: Simplify right side
    82.90x = 5,930.39
  5. Step 5: Solve for x
    x = 5,930.39/82.90
  6. Step 6: Final answer
    x = 71.54

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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.