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Finding the Fourth Proportional to 123.03, 184.52 and 65.23

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Solution

The fourth proportional to 123.03, 184.52 and 65.23 is: 97.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.03 : 184.52 = 65.23 : x
  2. Step 2: Convert to fraction form
    123.03/184.52 = 65.23/x
  3. Step 3: Cross multiply
    123.03x = 184.52 × 65.23
  4. Step 4: Simplify right side
    123.03x = 12,035.45
  5. Step 5: Solve for x
    x = 12,035.45/123.03
  6. Step 6: Final answer
    x = 97.82

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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.