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Finding the Fourth Proportional to 180.76, 271.20 and 89.47

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Solution

The fourth proportional to 180.76, 271.20 and 89.47 is: 134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.76 : 271.20 = 89.47 : x
  2. Step 2: Convert to fraction form
    180.76/271.20 = 89.47/x
  3. Step 3: Cross multiply
    180.76x = 271.20 × 89.47
  4. Step 4: Simplify right side
    180.76x = 24,264.26
  5. Step 5: Solve for x
    x = 24,264.26/180.76
  6. Step 6: Final answer
    x = 134.23

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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.