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Finding the Fourth Proportional to 159.63, 220.35 and 120.40

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Solution

The fourth proportional to 159.63, 220.35 and 120.40 is: 166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.63 : 220.35 = 120.40 : x
  2. Step 2: Convert to fraction form
    159.63/220.35 = 120.40/x
  3. Step 3: Cross multiply
    159.63x = 220.35 × 120.40
  4. Step 4: Simplify right side
    159.63x = 26,529.41
  5. Step 5: Solve for x
    x = 26,529.41/159.63
  6. Step 6: Final answer
    x = 166.20

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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.