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Finding the Fourth Proportional to 123.41, 185.84 and 89.41

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Solution

The fourth proportional to 123.41, 185.84 and 89.41 is: 134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.41 : 185.84 = 89.41 : x
  2. Step 2: Convert to fraction form
    123.41/185.84 = 89.41/x
  3. Step 3: Cross multiply
    123.41x = 185.84 × 89.41
  4. Step 4: Simplify right side
    123.41x = 16,615.51
  5. Step 5: Solve for x
    x = 16,615.51/123.41
  6. Step 6: Final answer
    x = 134.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.