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Finding the Fourth Proportional to 10.66, 15.98 and 6.64

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Solution

The fourth proportional to 10.66, 15.98 and 6.64 is: 9.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.66 : 15.98 = 6.64 : x
  2. Step 2: Convert to fraction form
    10.66/15.98 = 6.64/x
  3. Step 3: Cross multiply
    10.66x = 15.98 × 6.64
  4. Step 4: Simplify right side
    10.66x = 106.11
  5. Step 5: Solve for x
    x = 106.11/10.66
  6. Step 6: Final answer
    x = 9.95

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