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Finding the Fourth Proportional to 181.04, 271.42 and 65.41

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Solution

The fourth proportional to 181.04, 271.42 and 65.41 is: 98.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.04 : 271.42 = 65.41 : x
  2. Step 2: Convert to fraction form
    181.04/271.42 = 65.41/x
  3. Step 3: Cross multiply
    181.04x = 271.42 × 65.41
  4. Step 4: Simplify right side
    181.04x = 17,752.74
  5. Step 5: Solve for x
    x = 17,752.74/181.04
  6. Step 6: Final answer
    x = 98.06

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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.