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Finding the Fourth Proportional to 181.63, 272.25 and 90.13

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Solution

The fourth proportional to 181.63, 272.25 and 90.13 is: 135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.63 : 272.25 = 90.13 : x
  2. Step 2: Convert to fraction form
    181.63/272.25 = 90.13/x
  3. Step 3: Cross multiply
    181.63x = 272.25 × 90.13
  4. Step 4: Simplify right side
    181.63x = 24,537.89
  5. Step 5: Solve for x
    x = 24,537.89/181.63
  6. Step 6: Final answer
    x = 135.10

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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.