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Finding the Fourth Proportional to 76.83, 114.90 and 63.20

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Solution

The fourth proportional to 76.83, 114.90 and 63.20 is: 94.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.83 : 114.90 = 63.20 : x
  2. Step 2: Convert to fraction form
    76.83/114.90 = 63.20/x
  3. Step 3: Cross multiply
    76.83x = 114.90 × 63.20
  4. Step 4: Simplify right side
    76.83x = 7,261.11
  5. Step 5: Solve for x
    x = 7,261.11/76.83
  6. Step 6: Final answer
    x = 94.51

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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.