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Finding the Fourth Proportional to 76.37, 114.59 and 35.82

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Solution

The fourth proportional to 76.37, 114.59 and 35.82 is: 53.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.37 : 114.59 = 35.82 : x
  2. Step 2: Convert to fraction form
    76.37/114.59 = 35.82/x
  3. Step 3: Cross multiply
    76.37x = 114.59 × 35.82
  4. Step 4: Simplify right side
    76.37x = 4,103.86
  5. Step 5: Solve for x
    x = 4,103.86/76.37
  6. Step 6: Final answer
    x = 53.74

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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.