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Finding the Fourth Proportional to 52.63, 72.63 and 38.08

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Solution

The fourth proportional to 52.63, 72.63 and 38.08 is: 52.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.63 : 72.63 = 38.08 : x
  2. Step 2: Convert to fraction form
    52.63/72.63 = 38.08/x
  3. Step 3: Cross multiply
    52.63x = 72.63 × 38.08
  4. Step 4: Simplify right side
    52.63x = 2,765.75
  5. Step 5: Solve for x
    x = 2,765.75/52.63
  6. Step 6: Final answer
    x = 52.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.