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Finding the Fourth Proportional to 82.83, 114.30 and 45.48

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Solution

The fourth proportional to 82.83, 114.30 and 45.48 is: 62.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.83 : 114.30 = 45.48 : x
  2. Step 2: Convert to fraction form
    82.83/114.30 = 45.48/x
  3. Step 3: Cross multiply
    82.83x = 114.30 × 45.48
  4. Step 4: Simplify right side
    82.83x = 5,198.36
  5. Step 5: Solve for x
    x = 5,198.36/82.83
  6. Step 6: Final answer
    x = 62.76

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Why These Related Problems?

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