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Finding the Fourth Proportional to 165.49, 228.34 and 95.53

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Solution

The fourth proportional to 165.49, 228.34 and 95.53 is: 131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.49 : 228.34 = 95.53 : x
  2. Step 2: Convert to fraction form
    165.49/228.34 = 95.53/x
  3. Step 3: Cross multiply
    165.49x = 228.34 × 95.53
  4. Step 4: Simplify right side
    165.49x = 21,813.32
  5. Step 5: Solve for x
    x = 21,813.32/165.49
  6. Step 6: Final answer
    x = 131.81

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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.