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Finding the Fourth Proportional to 157.99, 218.23 and 111.52

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Solution

The fourth proportional to 157.99, 218.23 and 111.52 is: 154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.99 : 218.23 = 111.52 : x
  2. Step 2: Convert to fraction form
    157.99/218.23 = 111.52/x
  3. Step 3: Cross multiply
    157.99x = 218.23 × 111.52
  4. Step 4: Simplify right side
    157.99x = 24,337.01
  5. Step 5: Solve for x
    x = 24,337.01/157.99
  6. Step 6: Final answer
    x = 154.04

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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.