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Finding the Fourth Proportional to 142.79, 196.59 and 111.66

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Solution

The fourth proportional to 142.79, 196.59 and 111.66 is: 153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.79 : 196.59 = 111.66 : x
  2. Step 2: Convert to fraction form
    142.79/196.59 = 111.66/x
  3. Step 3: Cross multiply
    142.79x = 196.59 × 111.66
  4. Step 4: Simplify right side
    142.79x = 21,951.24
  5. Step 5: Solve for x
    x = 21,951.24/142.79
  6. Step 6: Final answer
    x = 153.74

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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.