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Finding the Fourth Proportional to 123.07, 184.51 and 74.96

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Solution

The fourth proportional to 123.07, 184.51 and 74.96 is: 112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.07 : 184.51 = 74.96 : x
  2. Step 2: Convert to fraction form
    123.07/184.51 = 74.96/x
  3. Step 3: Cross multiply
    123.07x = 184.51 × 74.96
  4. Step 4: Simplify right side
    123.07x = 13,830.87
  5. Step 5: Solve for x
    x = 13,830.87/123.07
  6. Step 6: Final answer
    x = 112.38

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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.