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Finding the Fourth Proportional to 131.07, 180.89 and 89.59

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Solution

The fourth proportional to 131.07, 180.89 and 89.59 is: 123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.07 : 180.89 = 89.59 : x
  2. Step 2: Convert to fraction form
    131.07/180.89 = 89.59/x
  3. Step 3: Cross multiply
    131.07x = 180.89 × 89.59
  4. Step 4: Simplify right side
    131.07x = 16,205.94
  5. Step 5: Solve for x
    x = 16,205.94/131.07
  6. Step 6: Final answer
    x = 123.64

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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.