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Finding the Fourth Proportional to 97.74, 146.64 and 52.07

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Solution

The fourth proportional to 97.74, 146.64 and 52.07 is: 78.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.74 : 146.64 = 52.07 : x
  2. Step 2: Convert to fraction form
    97.74/146.64 = 52.07/x
  3. Step 3: Cross multiply
    97.74x = 146.64 × 52.07
  4. Step 4: Simplify right side
    97.74x = 7,634.81
  5. Step 5: Solve for x
    x = 7,634.81/97.74
  6. Step 6: Final answer
    x = 78.11

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