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Finding the Fourth Proportional to 159.98, 239.93 and 91.49

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Solution

The fourth proportional to 159.98, 239.93 and 91.49 is: 137.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.98 : 239.93 = 91.49 : x
  2. Step 2: Convert to fraction form
    159.98/239.93 = 91.49/x
  3. Step 3: Cross multiply
    159.98x = 239.93 × 91.49
  4. Step 4: Simplify right side
    159.98x = 21,950.74
  5. Step 5: Solve for x
    x = 21,950.74/159.98
  6. Step 6: Final answer
    x = 137.21

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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.