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Finding the Fourth Proportional to 123.77, 185.65 and 41.50

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Solution

The fourth proportional to 123.77, 185.65 and 41.50 is: 62.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.77 : 185.65 = 41.50 : x
  2. Step 2: Convert to fraction form
    123.77/185.65 = 41.50/x
  3. Step 3: Cross multiply
    123.77x = 185.65 × 41.50
  4. Step 4: Simplify right side
    123.77x = 7,704.24
  5. Step 5: Solve for x
    x = 7,704.24/123.77
  6. Step 6: Final answer
    x = 62.25

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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.