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Finding the Fourth Proportional to 142.12, 196.09 and 89.74

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Solution

The fourth proportional to 142.12, 196.09 and 89.74 is: 123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.12 : 196.09 = 89.74 : x
  2. Step 2: Convert to fraction form
    142.12/196.09 = 89.74/x
  3. Step 3: Cross multiply
    142.12x = 196.09 × 89.74
  4. Step 4: Simplify right side
    142.12x = 17,597.12
  5. Step 5: Solve for x
    x = 17,597.12/142.12
  6. Step 6: Final answer
    x = 123.82

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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.