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Finding the Fourth Proportional to 52.69, 78.97 and 23.81

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Solution

The fourth proportional to 52.69, 78.97 and 23.81 is: 35.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.69 : 78.97 = 23.81 : x
  2. Step 2: Convert to fraction form
    52.69/78.97 = 23.81/x
  3. Step 3: Cross multiply
    52.69x = 78.97 × 23.81
  4. Step 4: Simplify right side
    52.69x = 1,880.28
  5. Step 5: Solve for x
    x = 1,880.28/52.69
  6. Step 6: Final answer
    x = 35.69

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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.