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Finding the Fourth Proportional to 181.06, 271.59 and 59.33

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Solution

The fourth proportional to 181.06, 271.59 and 59.33 is: 89.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.06 : 271.59 = 59.33 : x
  2. Step 2: Convert to fraction form
    181.06/271.59 = 59.33/x
  3. Step 3: Cross multiply
    181.06x = 271.59 × 59.33
  4. Step 4: Simplify right side
    181.06x = 16,114.68
  5. Step 5: Solve for x
    x = 16,114.68/181.06
  6. Step 6: Final answer
    x = 89.00

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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.