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Finding the Fourth Proportional to 142.84, 197.23 and 111.70

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Solution

The fourth proportional to 142.84, 197.23 and 111.70 is: 154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.84 : 197.23 = 111.70 : x
  2. Step 2: Convert to fraction form
    142.84/197.23 = 111.70/x
  3. Step 3: Cross multiply
    142.84x = 197.23 × 111.70
  4. Step 4: Simplify right side
    142.84x = 22,030.98
  5. Step 5: Solve for x
    x = 22,030.98/142.84
  6. Step 6: Final answer
    x = 154.23

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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.