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Finding the Fourth Proportional to 123.64, 185.50 and 41.38

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Solution

The fourth proportional to 123.64, 185.50 and 41.38 is: 62.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.64 : 185.50 = 41.38 : x
  2. Step 2: Convert to fraction form
    123.64/185.50 = 41.38/x
  3. Step 3: Cross multiply
    123.64x = 185.50 × 41.38
  4. Step 4: Simplify right side
    123.64x = 7,675.58
  5. Step 5: Solve for x
    x = 7,675.58/123.64
  6. Step 6: Final answer
    x = 62.08

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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.