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Finding the Fourth Proportional to 76.23, 114.32 and 35.63

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Solution

The fourth proportional to 76.23, 114.32 and 35.63 is: 53.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.23 : 114.32 = 35.63 : x
  2. Step 2: Convert to fraction form
    76.23/114.32 = 35.63/x
  3. Step 3: Cross multiply
    76.23x = 114.32 × 35.63
  4. Step 4: Simplify right side
    76.23x = 4,072.74
  5. Step 5: Solve for x
    x = 4,072.74/76.23
  6. Step 6: Final answer
    x = 53.43

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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.