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Finding the Fourth Proportional to 52.03, 77.59 and 51.51

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Solution

The fourth proportional to 52.03, 77.59 and 51.51 is: 76.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.03 : 77.59 = 51.51 : x
  2. Step 2: Convert to fraction form
    52.03/77.59 = 51.51/x
  3. Step 3: Cross multiply
    52.03x = 77.59 × 51.51
  4. Step 4: Simplify right side
    52.03x = 3,997.06
  5. Step 5: Solve for x
    x = 3,997.06/52.03
  6. Step 6: Final answer
    x = 76.83

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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.