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Finding the Fourth Proportional to 181.63, 272.25 and 66.01

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Solution

The fourth proportional to 181.63, 272.25 and 66.01 is: 98.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.63 : 272.25 = 66.01 : x
  2. Step 2: Convert to fraction form
    181.63/272.25 = 66.01/x
  3. Step 3: Cross multiply
    181.63x = 272.25 × 66.01
  4. Step 4: Simplify right side
    181.63x = 17,971.22
  5. Step 5: Solve for x
    x = 17,971.22/181.63
  6. Step 6: Final answer
    x = 98.94

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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.