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Finding the Fourth Proportional to 142.51, 196.62 and 105.63

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Solution

The fourth proportional to 142.51, 196.62 and 105.63 is: 145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.51 : 196.62 = 105.63 : x
  2. Step 2: Convert to fraction form
    142.51/196.62 = 105.63/x
  3. Step 3: Cross multiply
    142.51x = 196.62 × 105.63
  4. Step 4: Simplify right side
    142.51x = 20,768.97
  5. Step 5: Solve for x
    x = 20,768.97/142.51
  6. Step 6: Final answer
    x = 145.74

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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.