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Finding the Fourth Proportional to 181.63, 272.36 and 66.05

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Solution

The fourth proportional to 181.63, 272.36 and 66.05 is: 99.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.63 : 272.36 = 66.05 : x
  2. Step 2: Convert to fraction form
    181.63/272.36 = 66.05/x
  3. Step 3: Cross multiply
    181.63x = 272.36 × 66.05
  4. Step 4: Simplify right side
    181.63x = 17,989.05
  5. Step 5: Solve for x
    x = 17,989.05/181.63
  6. Step 6: Final answer
    x = 99.04

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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.