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Finding the Fourth Proportional to 76.23, 114.31 and 35.64

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Solution

The fourth proportional to 76.23, 114.31 and 35.64 is: 53.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.23 : 114.31 = 35.64 : x
  2. Step 2: Convert to fraction form
    76.23/114.31 = 35.64/x
  3. Step 3: Cross multiply
    76.23x = 114.31 × 35.64
  4. Step 4: Simplify right side
    76.23x = 4,073.92
  5. Step 5: Solve for x
    x = 4,073.92/76.23
  6. Step 6: Final answer
    x = 53.44

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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.