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Finding the Fourth Proportional to 98.42, 135.59 and 77.76

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Solution

The fourth proportional to 98.42, 135.59 and 77.76 is: 107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.42 : 135.59 = 77.76 : x
  2. Step 2: Convert to fraction form
    98.42/135.59 = 77.76/x
  3. Step 3: Cross multiply
    98.42x = 135.59 × 77.76
  4. Step 4: Simplify right side
    98.42x = 10,543.09
  5. Step 5: Solve for x
    x = 10,543.09/98.42
  6. Step 6: Final answer
    x = 107.13

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