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Finding the Fourth Proportional to 105.50, 157.28 and 103.28

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Solution

The fourth proportional to 105.50, 157.28 and 103.28 is: 153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.50 : 157.28 = 103.28 : x
  2. Step 2: Convert to fraction form
    105.50/157.28 = 103.28/x
  3. Step 3: Cross multiply
    105.50x = 157.28 × 103.28
  4. Step 4: Simplify right side
    105.50x = 16,242.58
  5. Step 5: Solve for x
    x = 16,242.58/105.50
  6. Step 6: Final answer
    x = 153.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.