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Finding the Fourth Proportional to 180.87, 271.23 and 65.29

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Solution

The fourth proportional to 180.87, 271.23 and 65.29 is: 97.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.87 : 271.23 = 65.29 : x
  2. Step 2: Convert to fraction form
    180.87/271.23 = 65.29/x
  3. Step 3: Cross multiply
    180.87x = 271.23 × 65.29
  4. Step 4: Simplify right side
    180.87x = 17,708.61
  5. Step 5: Solve for x
    x = 17,708.61/180.87
  6. Step 6: Final answer
    x = 97.91

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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.