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Finding the Fourth Proportional to 165.37, 228.21 and 89.67

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Solution

The fourth proportional to 165.37, 228.21 and 89.67 is: 123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.37 : 228.21 = 89.67 : x
  2. Step 2: Convert to fraction form
    165.37/228.21 = 89.67/x
  3. Step 3: Cross multiply
    165.37x = 228.21 × 89.67
  4. Step 4: Simplify right side
    165.37x = 20,462.82
  5. Step 5: Solve for x
    x = 20,462.82/165.37
  6. Step 6: Final answer
    x = 123.74

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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.