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Finding the Fourth Proportional to 159.21, 219.75 and 97.19

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Solution

The fourth proportional to 159.21, 219.75 and 97.19 is: 134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.21 : 219.75 = 97.19 : x
  2. Step 2: Convert to fraction form
    159.21/219.75 = 97.19/x
  3. Step 3: Cross multiply
    159.21x = 219.75 × 97.19
  4. Step 4: Simplify right side
    159.21x = 21,356.40
  5. Step 5: Solve for x
    x = 21,356.40/159.21
  6. Step 6: Final answer
    x = 134.14

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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.