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Finding the Fourth Proportional to 109.89, 151.74 and 89.37

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Solution

The fourth proportional to 109.89, 151.74 and 89.37 is: 123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.89 : 151.74 = 89.37 : x
  2. Step 2: Convert to fraction form
    109.89/151.74 = 89.37/x
  3. Step 3: Cross multiply
    109.89x = 151.74 × 89.37
  4. Step 4: Simplify right side
    109.89x = 13,561.00
  5. Step 5: Solve for x
    x = 13,561.00/109.89
  6. Step 6: Final answer
    x = 123.41

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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.