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Finding the Fourth Proportional to 159.00, 219.47 and 96.87

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Solution

The fourth proportional to 159.00, 219.47 and 96.87 is: 133.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.00 : 219.47 = 96.87 : x
  2. Step 2: Convert to fraction form
    159.00/219.47 = 96.87/x
  3. Step 3: Cross multiply
    159.00x = 219.47 × 96.87
  4. Step 4: Simplify right side
    159.00x = 21,259.71
  5. Step 5: Solve for x
    x = 21,259.71/159.00
  6. Step 6: Final answer
    x = 133.71

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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.