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Finding the Fourth Proportional to 142.63, 214.04 and 70.49

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Solution

The fourth proportional to 142.63, 214.04 and 70.49 is: 105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.63 : 214.04 = 70.49 : x
  2. Step 2: Convert to fraction form
    142.63/214.04 = 70.49/x
  3. Step 3: Cross multiply
    142.63x = 214.04 × 70.49
  4. Step 4: Simplify right side
    142.63x = 15,087.68
  5. Step 5: Solve for x
    x = 15,087.68/142.63
  6. Step 6: Final answer
    x = 105.78

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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.