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Finding the Fourth Proportional to 76.14, 104.96 and 51.53

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Solution

The fourth proportional to 76.14, 104.96 and 51.53 is: 71.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.14 : 104.96 = 51.53 : x
  2. Step 2: Convert to fraction form
    76.14/104.96 = 51.53/x
  3. Step 3: Cross multiply
    76.14x = 104.96 × 51.53
  4. Step 4: Simplify right side
    76.14x = 5,408.19
  5. Step 5: Solve for x
    x = 5,408.19/76.14
  6. Step 6: Final answer
    x = 71.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.