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Finding the Fourth Proportional to 65, 89.70 and 47.78

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Solution

The fourth proportional to 65, 89.70 and 47.78 is: 65.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65 : 89.70 = 47.78 : x
  2. Step 2: Convert to fraction form
    65/89.70 = 47.78/x
  3. Step 3: Cross multiply
    65x = 89.70 × 47.78
  4. Step 4: Simplify right side
    65x = 4,285.87
  5. Step 5: Solve for x
    x = 4,285.87/65
  6. Step 6: Final answer
    x = 65.94

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