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Finding the Fourth Proportional to 139.86, 193.26 and 105.01

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Solution

The fourth proportional to 139.86, 193.26 and 105.01 is: 145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.86 : 193.26 = 105.01 : x
  2. Step 2: Convert to fraction form
    139.86/193.26 = 105.01/x
  3. Step 3: Cross multiply
    139.86x = 193.26 × 105.01
  4. Step 4: Simplify right side
    139.86x = 20,293.75
  5. Step 5: Solve for x
    x = 20,293.75/139.86
  6. Step 6: Final answer
    x = 145.10

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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.