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Finding the Fourth Proportional to 164.02, 245.76 and 103

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Solution

The fourth proportional to 164.02, 245.76 and 103 is: 154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.02 : 245.76 = 103 : x
  2. Step 2: Convert to fraction form
    164.02/245.76 = 103/x
  3. Step 3: Cross multiply
    164.02x = 245.76 × 103
  4. Step 4: Simplify right side
    164.02x = 25,313.28
  5. Step 5: Solve for x
    x = 25,313.28/164.02
  6. Step 6: Final answer
    x = 154.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.