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Finding the Fourth Proportional to 165.02, 227.70 and 91.32

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Solution

The fourth proportional to 165.02, 227.70 and 91.32 is: 126.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.02 : 227.70 = 91.32 : x
  2. Step 2: Convert to fraction form
    165.02/227.70 = 91.32/x
  3. Step 3: Cross multiply
    165.02x = 227.70 × 91.32
  4. Step 4: Simplify right side
    165.02x = 20,794.36
  5. Step 5: Solve for x
    x = 20,794.36/165.02
  6. Step 6: Final answer
    x = 126.01

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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.