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Finding the Fourth Proportional to 165.21, 228 and 110.06

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Solution

The fourth proportional to 165.21, 228 and 110.06 is: 151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.21 : 228 = 110.06 : x
  2. Step 2: Convert to fraction form
    165.21/228 = 110.06/x
  3. Step 3: Cross multiply
    165.21x = 228 × 110.06
  4. Step 4: Simplify right side
    165.21x = 25,093.68
  5. Step 5: Solve for x
    x = 25,093.68/165.21
  6. Step 6: Final answer
    x = 151.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.