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Finding the Fourth Proportional to 123.93, 170.94 and 115.83

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Solution

The fourth proportional to 123.93, 170.94 and 115.83 is: 159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.93 : 170.94 = 115.83 : x
  2. Step 2: Convert to fraction form
    123.93/170.94 = 115.83/x
  3. Step 3: Cross multiply
    123.93x = 170.94 × 115.83
  4. Step 4: Simplify right side
    123.93x = 19,799.98
  5. Step 5: Solve for x
    x = 19,799.98/123.93
  6. Step 6: Final answer
    x = 159.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.