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Finding the Fourth Proportional to 103.80, 155.46 and 63.14

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Solution

The fourth proportional to 103.80, 155.46 and 63.14 is: 94.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.80 : 155.46 = 63.14 : x
  2. Step 2: Convert to fraction form
    103.80/155.46 = 63.14/x
  3. Step 3: Cross multiply
    103.80x = 155.46 × 63.14
  4. Step 4: Simplify right side
    103.80x = 9,815.74
  5. Step 5: Solve for x
    x = 9,815.74/103.80
  6. Step 6: Final answer
    x = 94.56

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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.