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Finding the Fourth Proportional to 123.05, 184.57 and 40.78

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Solution

The fourth proportional to 123.05, 184.57 and 40.78 is: 61.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.05 : 184.57 = 40.78 : x
  2. Step 2: Convert to fraction form
    123.05/184.57 = 40.78/x
  3. Step 3: Cross multiply
    123.05x = 184.57 × 40.78
  4. Step 4: Simplify right side
    123.05x = 7,526.41
  5. Step 5: Solve for x
    x = 7,526.41/123.05
  6. Step 6: Final answer
    x = 61.17

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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.