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Finding the Fourth Proportional to 157.83, 236.64 and 76.59

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Solution

The fourth proportional to 157.83, 236.64 and 76.59 is: 114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.83 : 236.64 = 76.59 : x
  2. Step 2: Convert to fraction form
    157.83/236.64 = 76.59/x
  3. Step 3: Cross multiply
    157.83x = 236.64 × 76.59
  4. Step 4: Simplify right side
    157.83x = 18,124.26
  5. Step 5: Solve for x
    x = 18,124.26/157.83
  6. Step 6: Final answer
    x = 114.83

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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.