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Finding the Fourth Proportional to 148.93, 223.04 and 102.49

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Solution

The fourth proportional to 148.93, 223.04 and 102.49 is: 153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.93 : 223.04 = 102.49 : x
  2. Step 2: Convert to fraction form
    148.93/223.04 = 102.49/x
  3. Step 3: Cross multiply
    148.93x = 223.04 × 102.49
  4. Step 4: Simplify right side
    148.93x = 22,859.07
  5. Step 5: Solve for x
    x = 22,859.07/148.93
  6. Step 6: Final answer
    x = 153.49

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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.