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Finding the Fourth Proportional to 123.84, 186.24 and 120.24

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Solution

The fourth proportional to 123.84, 186.24 and 120.24 is: 180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.84 : 186.24 = 120.24 : x
  2. Step 2: Convert to fraction form
    123.84/186.24 = 120.24/x
  3. Step 3: Cross multiply
    123.84x = 186.24 × 120.24
  4. Step 4: Simplify right side
    123.84x = 22,393.50
  5. Step 5: Solve for x
    x = 22,393.50/123.84
  6. Step 6: Final answer
    x = 180.83

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Why These Related Problems?

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