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Finding the Fourth Proportional to 52.02, 77.69 and 51.46

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Solution

The fourth proportional to 52.02, 77.69 and 51.46 is: 76.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.02 : 77.69 = 51.46 : x
  2. Step 2: Convert to fraction form
    52.02/77.69 = 51.46/x
  3. Step 3: Cross multiply
    52.02x = 77.69 × 51.46
  4. Step 4: Simplify right side
    52.02x = 3,997.28
  5. Step 5: Solve for x
    x = 3,997.28/52.02
  6. Step 6: Final answer
    x = 76.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.