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Finding the Fourth Proportional to 157.74, 236.60 and 106.78

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Solution

The fourth proportional to 157.74, 236.60 and 106.78 is: 160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.74 : 236.60 = 106.78 : x
  2. Step 2: Convert to fraction form
    157.74/236.60 = 106.78/x
  3. Step 3: Cross multiply
    157.74x = 236.60 × 106.78
  4. Step 4: Simplify right side
    157.74x = 25,264.15
  5. Step 5: Solve for x
    x = 25,264.15/157.74
  6. Step 6: Final answer
    x = 160.16

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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.