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Finding the Fourth Proportional to 110.37, 152.39 and 89.61

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Solution

The fourth proportional to 110.37, 152.39 and 89.61 is: 123.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.37 : 152.39 = 89.61 : x
  2. Step 2: Convert to fraction form
    110.37/152.39 = 89.61/x
  3. Step 3: Cross multiply
    110.37x = 152.39 × 89.61
  4. Step 4: Simplify right side
    110.37x = 13,655.89
  5. Step 5: Solve for x
    x = 13,655.89/110.37
  6. Step 6: Final answer
    x = 123.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.