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Finding the Fourth Proportional to 52.54, 78.75 and 51.16

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Solution

The fourth proportional to 52.54, 78.75 and 51.16 is: 76.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.54 : 78.75 = 51.16 : x
  2. Step 2: Convert to fraction form
    52.54/78.75 = 51.16/x
  3. Step 3: Cross multiply
    52.54x = 78.75 × 51.16
  4. Step 4: Simplify right side
    52.54x = 4,028.85
  5. Step 5: Solve for x
    x = 4,028.85/52.54
  6. Step 6: Final answer
    x = 76.68

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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.