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Finding the Fourth Proportional to 76.83, 114.79 and 74.14

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Solution

The fourth proportional to 76.83, 114.79 and 74.14 is: 110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.83 : 114.79 = 74.14 : x
  2. Step 2: Convert to fraction form
    76.83/114.79 = 74.14/x
  3. Step 3: Cross multiply
    76.83x = 114.79 × 74.14
  4. Step 4: Simplify right side
    76.83x = 8,510.64
  5. Step 5: Solve for x
    x = 8,510.64/76.83
  6. Step 6: Final answer
    x = 110.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.