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Finding the Fourth Proportional to 157.80, 217.64 and 111.09

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Solution

The fourth proportional to 157.80, 217.64 and 111.09 is: 153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.80 : 217.64 = 111.09 : x
  2. Step 2: Convert to fraction form
    157.80/217.64 = 111.09/x
  3. Step 3: Cross multiply
    157.80x = 217.64 × 111.09
  4. Step 4: Simplify right side
    157.80x = 24,177.07
  5. Step 5: Solve for x
    x = 24,177.07/157.80
  6. Step 6: Final answer
    x = 153.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.