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Finding the Fourth Proportional to 123.33, 184.78 and 71.93

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Solution

The fourth proportional to 123.33, 184.78 and 71.93 is: 107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.33 : 184.78 = 71.93 : x
  2. Step 2: Convert to fraction form
    123.33/184.78 = 71.93/x
  3. Step 3: Cross multiply
    123.33x = 184.78 × 71.93
  4. Step 4: Simplify right side
    123.33x = 13,291.78
  5. Step 5: Solve for x
    x = 13,291.78/123.33
  6. Step 6: Final answer
    x = 107.77

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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.