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Finding the Fourth Proportional to 147.28, 219.98 and 106.68

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Solution

The fourth proportional to 147.28, 219.98 and 106.68 is: 159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.28 : 219.98 = 106.68 : x
  2. Step 2: Convert to fraction form
    147.28/219.98 = 106.68/x
  3. Step 3: Cross multiply
    147.28x = 219.98 × 106.68
  4. Step 4: Simplify right side
    147.28x = 23,467.47
  5. Step 5: Solve for x
    x = 23,467.47/147.28
  6. Step 6: Final answer
    x = 159.34

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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.