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Finding the Fourth Proportional to 159.51, 239.21 and 72.82

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Solution

The fourth proportional to 159.51, 239.21 and 72.82 is: 109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.51 : 239.21 = 72.82 : x
  2. Step 2: Convert to fraction form
    159.51/239.21 = 72.82/x
  3. Step 3: Cross multiply
    159.51x = 239.21 × 72.82
  4. Step 4: Simplify right side
    159.51x = 17,419.21
  5. Step 5: Solve for x
    x = 17,419.21/159.51
  6. Step 6: Final answer
    x = 109.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.