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Finding the Fourth Proportional to 52.55, 79.28 and 50.96

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Solution

The fourth proportional to 52.55, 79.28 and 50.96 is: 76.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.55 : 79.28 = 50.96 : x
  2. Step 2: Convert to fraction form
    52.55/79.28 = 50.96/x
  3. Step 3: Cross multiply
    52.55x = 79.28 × 50.96
  4. Step 4: Simplify right side
    52.55x = 4,040.24
  5. Step 5: Solve for x
    x = 4,040.24/52.55
  6. Step 6: Final answer
    x = 76.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.