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Finding the Fourth Proportional to 142.63, 196.65 and 105.77

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Solution

The fourth proportional to 142.63, 196.65 and 105.77 is: 145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.63 : 196.65 = 105.77 : x
  2. Step 2: Convert to fraction form
    142.63/196.65 = 105.77/x
  3. Step 3: Cross multiply
    142.63x = 196.65 × 105.77
  4. Step 4: Simplify right side
    142.63x = 20,799.67
  5. Step 5: Solve for x
    x = 20,799.67/142.63
  6. Step 6: Final answer
    x = 145.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.