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Finding the Fourth Proportional to 116, 174 and 47.58

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Solution

The fourth proportional to 116, 174 and 47.58 is: 71.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116 : 174 = 47.58 : x
  2. Step 2: Convert to fraction form
    116/174 = 47.58/x
  3. Step 3: Cross multiply
    116x = 174 × 47.58
  4. Step 4: Simplify right side
    116x = 8,278.92
  5. Step 5: Solve for x
    x = 8,278.92/116
  6. Step 6: Final answer
    x = 71.37

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