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Finding the Fourth Proportional to 157.41, 235.94 and 106.03

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Solution

The fourth proportional to 157.41, 235.94 and 106.03 is: 158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.41 : 235.94 = 106.03 : x
  2. Step 2: Convert to fraction form
    157.41/235.94 = 106.03/x
  3. Step 3: Cross multiply
    157.41x = 235.94 × 106.03
  4. Step 4: Simplify right side
    157.41x = 25,016.72
  5. Step 5: Solve for x
    x = 25,016.72/157.41
  6. Step 6: Final answer
    x = 158.93

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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.