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Finding the Fourth Proportional to 159.14, 238.28 and 90.56

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Solution

The fourth proportional to 159.14, 238.28 and 90.56 is: 135.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.14 : 238.28 = 90.56 : x
  2. Step 2: Convert to fraction form
    159.14/238.28 = 90.56/x
  3. Step 3: Cross multiply
    159.14x = 238.28 × 90.56
  4. Step 4: Simplify right side
    159.14x = 21,578.64
  5. Step 5: Solve for x
    x = 21,578.64/159.14
  6. Step 6: Final answer
    x = 135.60

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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.