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Finding the Fourth Proportional to 76.43, 114.24 and 74.60

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Solution

The fourth proportional to 76.43, 114.24 and 74.60 is: 111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.43 : 114.24 = 74.60 : x
  2. Step 2: Convert to fraction form
    76.43/114.24 = 74.60/x
  3. Step 3: Cross multiply
    76.43x = 114.24 × 74.60
  4. Step 4: Simplify right side
    76.43x = 8,522.59
  5. Step 5: Solve for x
    x = 8,522.59/76.43
  6. Step 6: Final answer
    x = 111.52

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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.