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Finding the Fourth Proportional to 158.06, 217.77 and 106.22

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Solution

The fourth proportional to 158.06, 217.77 and 106.22 is: 146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.06 : 217.77 = 106.22 : x
  2. Step 2: Convert to fraction form
    158.06/217.77 = 106.22/x
  3. Step 3: Cross multiply
    158.06x = 217.77 × 106.22
  4. Step 4: Simplify right side
    158.06x = 23,130.44
  5. Step 5: Solve for x
    x = 23,130.44/158.06
  6. Step 6: Final answer
    x = 146.34

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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.