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Finding the Fourth Proportional to 147.96, 203.97 and 106.50

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Solution

The fourth proportional to 147.96, 203.97 and 106.50 is: 146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.96 : 203.97 = 106.50 : x
  2. Step 2: Convert to fraction form
    147.96/203.97 = 106.50/x
  3. Step 3: Cross multiply
    147.96x = 203.97 × 106.50
  4. Step 4: Simplify right side
    147.96x = 21,722.81
  5. Step 5: Solve for x
    x = 21,722.81/147.96
  6. Step 6: Final answer
    x = 146.82

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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.