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Finding the Fourth Proportional to 142.74, 197.01 and 100.80

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Solution

The fourth proportional to 142.74, 197.01 and 100.80 is: 139.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.74 : 197.01 = 100.80 : x
  2. Step 2: Convert to fraction form
    142.74/197.01 = 100.80/x
  3. Step 3: Cross multiply
    142.74x = 197.01 × 100.80
  4. Step 4: Simplify right side
    142.74x = 19,858.61
  5. Step 5: Solve for x
    x = 19,858.61/142.74
  6. Step 6: Final answer
    x = 139.12

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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.