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Finding the Fourth Proportional to 159.24, 219.75 and 97.05

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Solution

The fourth proportional to 159.24, 219.75 and 97.05 is: 133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.24 : 219.75 = 97.05 : x
  2. Step 2: Convert to fraction form
    159.24/219.75 = 97.05/x
  3. Step 3: Cross multiply
    159.24x = 219.75 × 97.05
  4. Step 4: Simplify right side
    159.24x = 21,326.74
  5. Step 5: Solve for x
    x = 21,326.74/159.24
  6. Step 6: Final answer
    x = 133.93

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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.