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Finding the Fourth Proportional to 142.27, 196.20 and 89.80

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Solution

The fourth proportional to 142.27, 196.20 and 89.80 is: 123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.27 : 196.20 = 89.80 : x
  2. Step 2: Convert to fraction form
    142.27/196.20 = 89.80/x
  3. Step 3: Cross multiply
    142.27x = 196.20 × 89.80
  4. Step 4: Simplify right side
    142.27x = 17,618.76
  5. Step 5: Solve for x
    x = 17,618.76/142.27
  6. Step 6: Final answer
    x = 123.84

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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.