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Finding the Fourth Proportional to 109.50, 150.63 and 105.06

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Solution

The fourth proportional to 109.50, 150.63 and 105.06 is: 144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.50 : 150.63 = 105.06 : x
  2. Step 2: Convert to fraction form
    109.50/150.63 = 105.06/x
  3. Step 3: Cross multiply
    109.50x = 150.63 × 105.06
  4. Step 4: Simplify right side
    109.50x = 15,825.19
  5. Step 5: Solve for x
    x = 15,825.19/109.50
  6. Step 6: Final answer
    x = 144.52

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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.