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Finding the Fourth Proportional to 142.59, 213.99 and 106.62

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Solution

The fourth proportional to 142.59, 213.99 and 106.62 is: 160.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.59 : 213.99 = 106.62 : x
  2. Step 2: Convert to fraction form
    142.59/213.99 = 106.62/x
  3. Step 3: Cross multiply
    142.59x = 213.99 × 106.62
  4. Step 4: Simplify right side
    142.59x = 22,815.61
  5. Step 5: Solve for x
    x = 22,815.61/142.59
  6. Step 6: Final answer
    x = 160.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.