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Finding the Fourth Proportional to 123.42, 184.94 and 82.77

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Solution

The fourth proportional to 123.42, 184.94 and 82.77 is: 124.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.42 : 184.94 = 82.77 : x
  2. Step 2: Convert to fraction form
    123.42/184.94 = 82.77/x
  3. Step 3: Cross multiply
    123.42x = 184.94 × 82.77
  4. Step 4: Simplify right side
    123.42x = 15,307.48
  5. Step 5: Solve for x
    x = 15,307.48/123.42
  6. Step 6: Final answer
    x = 124.03

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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.