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Finding the Fourth Proportional to 123.51, 185.37 and 89.39

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Solution

The fourth proportional to 123.51, 185.37 and 89.39 is: 134.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.51 : 185.37 = 89.39 : x
  2. Step 2: Convert to fraction form
    123.51/185.37 = 89.39/x
  3. Step 3: Cross multiply
    123.51x = 185.37 × 89.39
  4. Step 4: Simplify right side
    123.51x = 16,570.22
  5. Step 5: Solve for x
    x = 16,570.22/123.51
  6. Step 6: Final answer
    x = 134.16

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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.