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Finding the Fourth Proportional to 83.21, 124.71 and 49.01

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Solution

The fourth proportional to 83.21, 124.71 and 49.01 is: 73.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.21 : 124.71 = 49.01 : x
  2. Step 2: Convert to fraction form
    83.21/124.71 = 49.01/x
  3. Step 3: Cross multiply
    83.21x = 124.71 × 49.01
  4. Step 4: Simplify right side
    83.21x = 6,112.04
  5. Step 5: Solve for x
    x = 6,112.04/83.21
  6. Step 6: Final answer
    x = 73.45

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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.