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Finding the Fourth Proportional to 181.09, 271.54 and 78.32

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Solution

The fourth proportional to 181.09, 271.54 and 78.32 is: 117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.09 : 271.54 = 78.32 : x
  2. Step 2: Convert to fraction form
    181.09/271.54 = 78.32/x
  3. Step 3: Cross multiply
    181.09x = 271.54 × 78.32
  4. Step 4: Simplify right side
    181.09x = 21,267.01
  5. Step 5: Solve for x
    x = 21,267.01/181.09
  6. Step 6: Final answer
    x = 117.44

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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.