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Finding the Fourth Proportional to 148.14, 204.36 and 89.82

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Solution

The fourth proportional to 148.14, 204.36 and 89.82 is: 123.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.14 : 204.36 = 89.82 : x
  2. Step 2: Convert to fraction form
    148.14/204.36 = 89.82/x
  3. Step 3: Cross multiply
    148.14x = 204.36 × 89.82
  4. Step 4: Simplify right side
    148.14x = 18,355.62
  5. Step 5: Solve for x
    x = 18,355.62/148.14
  6. Step 6: Final answer
    x = 123.91

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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.