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Finding the Fourth Proportional to 76.39, 114.60 and 35.83

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Solution

The fourth proportional to 76.39, 114.60 and 35.83 is: 53.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.39 : 114.60 = 35.83 : x
  2. Step 2: Convert to fraction form
    76.39/114.60 = 35.83/x
  3. Step 3: Cross multiply
    76.39x = 114.60 × 35.83
  4. Step 4: Simplify right side
    76.39x = 4,106.12
  5. Step 5: Solve for x
    x = 4,106.12/76.39
  6. Step 6: Final answer
    x = 53.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.