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Finding the Fourth Proportional to 148, 204.30 and 106.03

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Solution

The fourth proportional to 148, 204.30 and 106.03 is: 146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    148 : 204.30 = 106.03 : x
  2. Step 2: Convert to fraction form
    148/204.30 = 106.03/x
  3. Step 3: Cross multiply
    148x = 204.30 × 106.03
  4. Step 4: Simplify right side
    148x = 21,661.93
  5. Step 5: Solve for x
    x = 21,661.93/148
  6. Step 6: Final answer
    x = 146.36

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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.