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Finding the Fourth Proportional to 76.08, 113.28 and 74.40

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Solution

The fourth proportional to 76.08, 113.28 and 74.40 is: 110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.08 : 113.28 = 74.40 : x
  2. Step 2: Convert to fraction form
    76.08/113.28 = 74.40/x
  3. Step 3: Cross multiply
    76.08x = 113.28 × 74.40
  4. Step 4: Simplify right side
    76.08x = 8,428.03
  5. Step 5: Solve for x
    x = 8,428.03/76.08
  6. Step 6: Final answer
    x = 110.78

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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.