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Finding the Fourth Proportional to 82.94, 114.46 and 48.44

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Solution

The fourth proportional to 82.94, 114.46 and 48.44 is: 66.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.94 : 114.46 = 48.44 : x
  2. Step 2: Convert to fraction form
    82.94/114.46 = 48.44/x
  3. Step 3: Cross multiply
    82.94x = 114.46 × 48.44
  4. Step 4: Simplify right side
    82.94x = 5,543.91
  5. Step 5: Solve for x
    x = 5,543.91/82.94
  6. Step 6: Final answer
    x = 66.84

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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.