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Finding the Fourth Proportional to 165.82, 228.93 and 110.64

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Solution

The fourth proportional to 165.82, 228.93 and 110.64 is: 152.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.82 : 228.93 = 110.64 : x
  2. Step 2: Convert to fraction form
    165.82/228.93 = 110.64/x
  3. Step 3: Cross multiply
    165.82x = 228.93 × 110.64
  4. Step 4: Simplify right side
    165.82x = 25,327.97
  5. Step 5: Solve for x
    x = 25,327.97/165.82
  6. Step 6: Final answer
    x = 152.74

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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.