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Finding the Fourth Proportional to 82.94, 114.38 and 62.22

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Solution

The fourth proportional to 82.94, 114.38 and 62.22 is: 85.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.94 : 114.38 = 62.22 : x
  2. Step 2: Convert to fraction form
    82.94/114.38 = 62.22/x
  3. Step 3: Cross multiply
    82.94x = 114.38 × 62.22
  4. Step 4: Simplify right side
    82.94x = 7,116.72
  5. Step 5: Solve for x
    x = 7,116.72/82.94
  6. Step 6: Final answer
    x = 85.81

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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.