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Finding the Fourth Proportional to 123.54, 184.91 and 82.32

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Solution

The fourth proportional to 123.54, 184.91 and 82.32 is: 123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.54 : 184.91 = 82.32 : x
  2. Step 2: Convert to fraction form
    123.54/184.91 = 82.32/x
  3. Step 3: Cross multiply
    123.54x = 184.91 × 82.32
  4. Step 4: Simplify right side
    123.54x = 15,222.46
  5. Step 5: Solve for x
    x = 15,222.46/123.54
  6. Step 6: Final answer
    x = 123.22

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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.