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Finding the Fourth Proportional to 123.36, 171.12 and 120

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Solution

The fourth proportional to 123.36, 171.12 and 120 is: 166.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.36 : 171.12 = 120 : x
  2. Step 2: Convert to fraction form
    123.36/171.12 = 120/x
  3. Step 3: Cross multiply
    123.36x = 171.12 × 120
  4. Step 4: Simplify right side
    123.36x = 20,534.40
  5. Step 5: Solve for x
    x = 20,534.40/123.36
  6. Step 6: Final answer
    x = 166.46

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.