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Finding the Fourth Proportional to 76.57, 114.86 and 36.03

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Solution

The fourth proportional to 76.57, 114.86 and 36.03 is: 54.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.57 : 114.86 = 36.03 : x
  2. Step 2: Convert to fraction form
    76.57/114.86 = 36.03/x
  3. Step 3: Cross multiply
    76.57x = 114.86 × 36.03
  4. Step 4: Simplify right side
    76.57x = 4,138.41
  5. Step 5: Solve for x
    x = 4,138.41/76.57
  6. Step 6: Final answer
    x = 54.05

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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.