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Finding the Fourth Proportional to 123.19, 184.89 and 65.48

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Solution

The fourth proportional to 123.19, 184.89 and 65.48 is: 98.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.19 : 184.89 = 65.48 : x
  2. Step 2: Convert to fraction form
    123.19/184.89 = 65.48/x
  3. Step 3: Cross multiply
    123.19x = 184.89 × 65.48
  4. Step 4: Simplify right side
    123.19x = 12,106.60
  5. Step 5: Solve for x
    x = 12,106.60/123.19
  6. Step 6: Final answer
    x = 98.27

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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.