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Finding the Fourth Proportional to 123.95, 185.83 and 78.23

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Solution

The fourth proportional to 123.95, 185.83 and 78.23 is: 117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.95 : 185.83 = 78.23 : x
  2. Step 2: Convert to fraction form
    123.95/185.83 = 78.23/x
  3. Step 3: Cross multiply
    123.95x = 185.83 × 78.23
  4. Step 4: Simplify right side
    123.95x = 14,537.75
  5. Step 5: Solve for x
    x = 14,537.75/123.95
  6. Step 6: Final answer
    x = 117.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.