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Finding the Fourth Proportional to 180.84, 271.52 and 89.56

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Solution

The fourth proportional to 180.84, 271.52 and 89.56 is: 134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.84 : 271.52 = 89.56 : x
  2. Step 2: Convert to fraction form
    180.84/271.52 = 89.56/x
  3. Step 3: Cross multiply
    180.84x = 271.52 × 89.56
  4. Step 4: Simplify right side
    180.84x = 24,317.33
  5. Step 5: Solve for x
    x = 24,317.33/180.84
  6. Step 6: Final answer
    x = 134.47

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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.