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Finding the Fourth Proportional to 180.80, 271.09 and 59.00

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Solution

The fourth proportional to 180.80, 271.09 and 59.00 is: 88.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.80 : 271.09 = 59.00 : x
  2. Step 2: Convert to fraction form
    180.80/271.09 = 59.00/x
  3. Step 3: Cross multiply
    180.80x = 271.09 × 59.00
  4. Step 4: Simplify right side
    180.80x = 15,992.81
  5. Step 5: Solve for x
    x = 15,992.81/180.80
  6. Step 6: Final answer
    x = 88.46

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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.