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Finding the Fourth Proportional to 97.16, 145.74 and 66.84

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Solution

The fourth proportional to 97.16, 145.74 and 66.84 is: 100.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.16 : 145.74 = 66.84 : x
  2. Step 2: Convert to fraction form
    97.16/145.74 = 66.84/x
  3. Step 3: Cross multiply
    97.16x = 145.74 × 66.84
  4. Step 4: Simplify right side
    97.16x = 9,741.26
  5. Step 5: Solve for x
    x = 9,741.26/97.16
  6. Step 6: Final answer
    x = 100.26

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