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Finding the Fourth Proportional to 76.32, 114 and 67.20

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Solution

The fourth proportional to 76.32, 114 and 67.20 is: 100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.32 : 114 = 67.20 : x
  2. Step 2: Convert to fraction form
    76.32/114 = 67.20/x
  3. Step 3: Cross multiply
    76.32x = 114 × 67.20
  4. Step 4: Simplify right side
    76.32x = 7,660.80
  5. Step 5: Solve for x
    x = 7,660.80/76.32
  6. Step 6: Final answer
    x = 100.38

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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.