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Finding the Fourth Proportional to 98.78, 148.24 and 53.14

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Solution

The fourth proportional to 98.78, 148.24 and 53.14 is: 79.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.78 : 148.24 = 53.14 : x
  2. Step 2: Convert to fraction form
    98.78/148.24 = 53.14/x
  3. Step 3: Cross multiply
    98.78x = 148.24 × 53.14
  4. Step 4: Simplify right side
    98.78x = 7,877.47
  5. Step 5: Solve for x
    x = 7,877.47/98.78
  6. Step 6: Final answer
    x = 79.75

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