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Finding the Fourth Proportional to 101.86, 152.81 and 37.74

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Solution

The fourth proportional to 101.86, 152.81 and 37.74 is: 56.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.86 : 152.81 = 37.74 : x
  2. Step 2: Convert to fraction form
    101.86/152.81 = 37.74/x
  3. Step 3: Cross multiply
    101.86x = 152.81 × 37.74
  4. Step 4: Simplify right side
    101.86x = 5,767.05
  5. Step 5: Solve for x
    x = 5,767.05/101.86
  6. Step 6: Final answer
    x = 56.62

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