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Finding the Fourth Proportional to 123.72, 185.62 and 37.05

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Solution

The fourth proportional to 123.72, 185.62 and 37.05 is: 55.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.72 : 185.62 = 37.05 : x
  2. Step 2: Convert to fraction form
    123.72/185.62 = 37.05/x
  3. Step 3: Cross multiply
    123.72x = 185.62 × 37.05
  4. Step 4: Simplify right side
    123.72x = 6,877.04
  5. Step 5: Solve for x
    x = 6,877.04/123.72
  6. Step 6: Final answer
    x = 55.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.