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Finding the Fourth Proportional to 52.58, 78.79 and 23.68

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Solution

The fourth proportional to 52.58, 78.79 and 23.68 is: 35.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.58 : 78.79 = 23.68 : x
  2. Step 2: Convert to fraction form
    52.58/78.79 = 23.68/x
  3. Step 3: Cross multiply
    52.58x = 78.79 × 23.68
  4. Step 4: Simplify right side
    52.58x = 1,865.75
  5. Step 5: Solve for x
    x = 1,865.75/52.58
  6. Step 6: Final answer
    x = 35.48

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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.