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Finding the Fourth Proportional to 122.95, 184.14 and 74.77

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Solution

The fourth proportional to 122.95, 184.14 and 74.77 is: 111.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.95 : 184.14 = 74.77 : x
  2. Step 2: Convert to fraction form
    122.95/184.14 = 74.77/x
  3. Step 3: Cross multiply
    122.95x = 184.14 × 74.77
  4. Step 4: Simplify right side
    122.95x = 13,768.15
  5. Step 5: Solve for x
    x = 13,768.15/122.95
  6. Step 6: Final answer
    x = 111.98

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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.