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Finding the Fourth Proportional to 159.46, 220.10 and 104.35

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Solution

The fourth proportional to 159.46, 220.10 and 104.35 is: 144.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.46 : 220.10 = 104.35 : x
  2. Step 2: Convert to fraction form
    159.46/220.10 = 104.35/x
  3. Step 3: Cross multiply
    159.46x = 220.10 × 104.35
  4. Step 4: Simplify right side
    159.46x = 22,966.36
  5. Step 5: Solve for x
    x = 22,966.36/159.46
  6. Step 6: Final answer
    x = 144.03

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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.