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Finding the Fourth Proportional to 76.58, 114.81 and 35.94

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Solution

The fourth proportional to 76.58, 114.81 and 35.94 is: 53.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.58 : 114.81 = 35.94 : x
  2. Step 2: Convert to fraction form
    76.58/114.81 = 35.94/x
  3. Step 3: Cross multiply
    76.58x = 114.81 × 35.94
  4. Step 4: Simplify right side
    76.58x = 4,126.27
  5. Step 5: Solve for x
    x = 4,126.27/76.58
  6. Step 6: Final answer
    x = 53.89

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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.