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Finding the Fourth Proportional to 82.74, 124.23 and 70.71

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Solution

The fourth proportional to 82.74, 124.23 and 70.71 is: 106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.74 : 124.23 = 70.71 : x
  2. Step 2: Convert to fraction form
    82.74/124.23 = 70.71/x
  3. Step 3: Cross multiply
    82.74x = 124.23 × 70.71
  4. Step 4: Simplify right side
    82.74x = 8,784.30
  5. Step 5: Solve for x
    x = 8,784.30/82.74
  6. Step 6: Final answer
    x = 106.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.