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Finding the Fourth Proportional to 157.99, 237.08 and 85.86

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Solution

The fourth proportional to 157.99, 237.08 and 85.86 is: 128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.99 : 237.08 = 85.86 : x
  2. Step 2: Convert to fraction form
    157.99/237.08 = 85.86/x
  3. Step 3: Cross multiply
    157.99x = 237.08 × 85.86
  4. Step 4: Simplify right side
    157.99x = 20,355.69
  5. Step 5: Solve for x
    x = 20,355.69/157.99
  6. Step 6: Final answer
    x = 128.84

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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.