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Finding the Fourth Proportional to 123.57, 185.27 and 75.38

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Solution

The fourth proportional to 123.57, 185.27 and 75.38 is: 113.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.57 : 185.27 = 75.38 : x
  2. Step 2: Convert to fraction form
    123.57/185.27 = 75.38/x
  3. Step 3: Cross multiply
    123.57x = 185.27 × 75.38
  4. Step 4: Simplify right side
    123.57x = 13,964.35
  5. Step 5: Solve for x
    x = 13,964.35/123.57
  6. Step 6: Final answer
    x = 113.01

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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.