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Finding the Fourth Proportional to 52.34, 78.54 and 23.48

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Solution

The fourth proportional to 52.34, 78.54 and 23.48 is: 35.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.34 : 78.54 = 23.48 : x
  2. Step 2: Convert to fraction form
    52.34/78.54 = 23.48/x
  3. Step 3: Cross multiply
    52.34x = 78.54 × 23.48
  4. Step 4: Simplify right side
    52.34x = 1,843.73
  5. Step 5: Solve for x
    x = 1,843.73/52.34
  6. Step 6: Final answer
    x = 35.23

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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.