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Finding the Fourth Proportional to 106.24, 158.74 and 83.36

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Solution

The fourth proportional to 106.24, 158.74 and 83.36 is: 124.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.24 : 158.74 = 83.36 : x
  2. Step 2: Convert to fraction form
    106.24/158.74 = 83.36/x
  3. Step 3: Cross multiply
    106.24x = 158.74 × 83.36
  4. Step 4: Simplify right side
    106.24x = 13,232.57
  5. Step 5: Solve for x
    x = 13,232.57/106.24
  6. Step 6: Final answer
    x = 124.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.