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Finding the Fourth Proportional to 158.93, 219.07 and 106.37

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Solution

The fourth proportional to 158.93, 219.07 and 106.37 is: 146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.93 : 219.07 = 106.37 : x
  2. Step 2: Convert to fraction form
    158.93/219.07 = 106.37/x
  3. Step 3: Cross multiply
    158.93x = 219.07 × 106.37
  4. Step 4: Simplify right side
    158.93x = 23,302.48
  5. Step 5: Solve for x
    x = 23,302.48/158.93
  6. Step 6: Final answer
    x = 146.62

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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.