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Finding the Fourth Proportional to 76.37, 114.66 and 45.99

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Solution

The fourth proportional to 76.37, 114.66 and 45.99 is: 69.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.37 : 114.66 = 45.99 : x
  2. Step 2: Convert to fraction form
    76.37/114.66 = 45.99/x
  3. Step 3: Cross multiply
    76.37x = 114.66 × 45.99
  4. Step 4: Simplify right side
    76.37x = 5,273.21
  5. Step 5: Solve for x
    x = 5,273.21/76.37
  6. Step 6: Final answer
    x = 69.05

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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.