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Finding the Fourth Proportional to 78.02, 117.06 and 64.58

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Solution

The fourth proportional to 78.02, 117.06 and 64.58 is: 96.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.02 : 117.06 = 64.58 : x
  2. Step 2: Convert to fraction form
    78.02/117.06 = 64.58/x
  3. Step 3: Cross multiply
    78.02x = 117.06 × 64.58
  4. Step 4: Simplify right side
    78.02x = 7,559.73
  5. Step 5: Solve for x
    x = 7,559.73/78.02
  6. Step 6: Final answer
    x = 96.89

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