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Finding the Fourth Proportional to 142.58, 213.64 and 61.40

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Solution

The fourth proportional to 142.58, 213.64 and 61.40 is: 92.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.58 : 213.64 = 61.40 : x
  2. Step 2: Convert to fraction form
    142.58/213.64 = 61.40/x
  3. Step 3: Cross multiply
    142.58x = 213.64 × 61.40
  4. Step 4: Simplify right side
    142.58x = 13,116.27
  5. Step 5: Solve for x
    x = 13,116.27/142.58
  6. Step 6: Final answer
    x = 92.00

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