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Finding the Fourth Proportional to 76.96, 115.21 and 52.53

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Solution

The fourth proportional to 76.96, 115.21 and 52.53 is: 78.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.96 : 115.21 = 52.53 : x
  2. Step 2: Convert to fraction form
    76.96/115.21 = 52.53/x
  3. Step 3: Cross multiply
    76.96x = 115.21 × 52.53
  4. Step 4: Simplify right side
    76.96x = 6,051.98
  5. Step 5: Solve for x
    x = 6,051.98/76.96
  6. Step 6: Final answer
    x = 78.64

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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.