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Finding the Fourth Proportional to 148.09, 204.24 and 95.63

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Solution

The fourth proportional to 148.09, 204.24 and 95.63 is: 131.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.09 : 204.24 = 95.63 : x
  2. Step 2: Convert to fraction form
    148.09/204.24 = 95.63/x
  3. Step 3: Cross multiply
    148.09x = 204.24 × 95.63
  4. Step 4: Simplify right side
    148.09x = 19,531.98
  5. Step 5: Solve for x
    x = 19,531.98/148.09
  6. Step 6: Final answer
    x = 131.89

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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.