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Finding the Fourth Proportional to 76.83, 114.42 and 73.59

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Solution

The fourth proportional to 76.83, 114.42 and 73.59 is: 109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.83 : 114.42 = 73.59 : x
  2. Step 2: Convert to fraction form
    76.83/114.42 = 73.59/x
  3. Step 3: Cross multiply
    76.83x = 114.42 × 73.59
  4. Step 4: Simplify right side
    76.83x = 8,420.17
  5. Step 5: Solve for x
    x = 8,420.17/76.83
  6. Step 6: Final answer
    x = 109.59

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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.