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Finding the Fourth Proportional to 180.80, 271.24 and 59.06

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Solution

The fourth proportional to 180.80, 271.24 and 59.06 is: 88.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.80 : 271.24 = 59.06 : x
  2. Step 2: Convert to fraction form
    180.80/271.24 = 59.06/x
  3. Step 3: Cross multiply
    180.80x = 271.24 × 59.06
  4. Step 4: Simplify right side
    180.80x = 16,019.43
  5. Step 5: Solve for x
    x = 16,019.43/180.80
  6. Step 6: Final answer
    x = 88.60

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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.