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Finding the Fourth Proportional to 123.64, 185.37 and 110.14

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Solution

The fourth proportional to 123.64, 185.37 and 110.14 is: 165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.64 : 185.37 = 110.14 : x
  2. Step 2: Convert to fraction form
    123.64/185.37 = 110.14/x
  3. Step 3: Cross multiply
    123.64x = 185.37 × 110.14
  4. Step 4: Simplify right side
    123.64x = 20,416.65
  5. Step 5: Solve for x
    x = 20,416.65/123.64
  6. Step 6: Final answer
    x = 165.13

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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.