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Finding the Fourth Proportional to 101.82, 152.76 and 37.71

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Solution

The fourth proportional to 101.82, 152.76 and 37.71 is: 56.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.82 : 152.76 = 37.71 : x
  2. Step 2: Convert to fraction form
    101.82/152.76 = 37.71/x
  3. Step 3: Cross multiply
    101.82x = 152.76 × 37.71
  4. Step 4: Simplify right side
    101.82x = 5,760.58
  5. Step 5: Solve for x
    x = 5,760.58/101.82
  6. Step 6: Final answer
    x = 56.58

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