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Finding the Fourth Proportional to 52.51, 78.75 and 25.48

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Solution

The fourth proportional to 52.51, 78.75 and 25.48 is: 38.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.51 : 78.75 = 25.48 : x
  2. Step 2: Convert to fraction form
    52.51/78.75 = 25.48/x
  3. Step 3: Cross multiply
    52.51x = 78.75 × 25.48
  4. Step 4: Simplify right side
    52.51x = 2,006.03
  5. Step 5: Solve for x
    x = 2,006.03/52.51
  6. Step 6: Final answer
    x = 38.20

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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.