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Finding the Fourth Proportional to 123.40, 185.21 and 74.64

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Solution

The fourth proportional to 123.40, 185.21 and 74.64 is: 112.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.40 : 185.21 = 74.64 : x
  2. Step 2: Convert to fraction form
    123.40/185.21 = 74.64/x
  3. Step 3: Cross multiply
    123.40x = 185.21 × 74.64
  4. Step 4: Simplify right side
    123.40x = 13,824.07
  5. Step 5: Solve for x
    x = 13,824.07/123.40
  6. Step 6: Final answer
    x = 112.03

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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.