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Finding the Fourth Proportional to 76.02, 113.78 and 54.32

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Solution

The fourth proportional to 76.02, 113.78 and 54.32 is: 81.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.02 : 113.78 = 54.32 : x
  2. Step 2: Convert to fraction form
    76.02/113.78 = 54.32/x
  3. Step 3: Cross multiply
    76.02x = 113.78 × 54.32
  4. Step 4: Simplify right side
    76.02x = 6,180.53
  5. Step 5: Solve for x
    x = 6,180.53/76.02
  6. Step 6: Final answer
    x = 81.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.