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Finding the Fourth Proportional to 158.70, 219 and 106.92

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Solution

The fourth proportional to 158.70, 219 and 106.92 is: 147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.70 : 219 = 106.92 : x
  2. Step 2: Convert to fraction form
    158.70/219 = 106.92/x
  3. Step 3: Cross multiply
    158.70x = 219 × 106.92
  4. Step 4: Simplify right side
    158.70x = 23,415.48
  5. Step 5: Solve for x
    x = 23,415.48/158.70
  6. Step 6: Final answer
    x = 147.55

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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.