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Finding the Fourth Proportional to 158.83, 219.02 and 106.37

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Solution

The fourth proportional to 158.83, 219.02 and 106.37 is: 146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.83 : 219.02 = 106.37 : x
  2. Step 2: Convert to fraction form
    158.83/219.02 = 106.37/x
  3. Step 3: Cross multiply
    158.83x = 219.02 × 106.37
  4. Step 4: Simplify right side
    158.83x = 23,296.35
  5. Step 5: Solve for x
    x = 23,296.35/158.83
  6. Step 6: Final answer
    x = 146.68

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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.