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Finding the Fourth Proportional to 123.83, 185.83 and 42.74

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Solution

The fourth proportional to 123.83, 185.83 and 42.74 is: 64.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.83 : 185.83 = 42.74 : x
  2. Step 2: Convert to fraction form
    123.83/185.83 = 42.74/x
  3. Step 3: Cross multiply
    123.83x = 185.83 × 42.74
  4. Step 4: Simplify right side
    123.83x = 7,941.34
  5. Step 5: Solve for x
    x = 7,941.34/123.83
  6. Step 6: Final answer
    x = 64.13

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