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Finding the Fourth Proportional to 165.24, 228.06 and 103.06

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Solution

The fourth proportional to 165.24, 228.06 and 103.06 is: 142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.24 : 228.06 = 103.06 : x
  2. Step 2: Convert to fraction form
    165.24/228.06 = 103.06/x
  3. Step 3: Cross multiply
    165.24x = 228.06 × 103.06
  4. Step 4: Simplify right side
    165.24x = 23,503.86
  5. Step 5: Solve for x
    x = 23,503.86/165.24
  6. Step 6: Final answer
    x = 142.24

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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.