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Finding the Fourth Proportional to 52.55, 78.84 and 25.49

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Solution

The fourth proportional to 52.55, 78.84 and 25.49 is: 38.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.55 : 78.84 = 25.49 : x
  2. Step 2: Convert to fraction form
    52.55/78.84 = 25.49/x
  3. Step 3: Cross multiply
    52.55x = 78.84 × 25.49
  4. Step 4: Simplify right side
    52.55x = 2,009.24
  5. Step 5: Solve for x
    x = 2,009.24/52.55
  6. Step 6: Final answer
    x = 38.24

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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.