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Finding the Fourth Proportional to 83.06, 114.71 and 74.01

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Solution

The fourth proportional to 83.06, 114.71 and 74.01 is: 102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.06 : 114.71 = 74.01 : x
  2. Step 2: Convert to fraction form
    83.06/114.71 = 74.01/x
  3. Step 3: Cross multiply
    83.06x = 114.71 × 74.01
  4. Step 4: Simplify right side
    83.06x = 8,489.69
  5. Step 5: Solve for x
    x = 8,489.69/83.06
  6. Step 6: Final answer
    x = 102.21

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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.