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Finding the Fourth Proportional to 76.53, 114.27 and 63.03

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Solution

The fourth proportional to 76.53, 114.27 and 63.03 is: 94.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.53 : 114.27 = 63.03 : x
  2. Step 2: Convert to fraction form
    76.53/114.27 = 63.03/x
  3. Step 3: Cross multiply
    76.53x = 114.27 × 63.03
  4. Step 4: Simplify right side
    76.53x = 7,202.44
  5. Step 5: Solve for x
    x = 7,202.44/76.53
  6. Step 6: Final answer
    x = 94.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.