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Finding the Fourth Proportional to 76.61, 114.97 and 30.38

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Solution

The fourth proportional to 76.61, 114.97 and 30.38 is: 45.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.61 : 114.97 = 30.38 : x
  2. Step 2: Convert to fraction form
    76.61/114.97 = 30.38/x
  3. Step 3: Cross multiply
    76.61x = 114.97 × 30.38
  4. Step 4: Simplify right side
    76.61x = 3,492.79
  5. Step 5: Solve for x
    x = 3,492.79/76.61
  6. Step 6: Final answer
    x = 45.59

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