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Finding the Fourth Proportional to 52.20, 71.82 and 48.24

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Solution

The fourth proportional to 52.20, 71.82 and 48.24 is: 66.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.20 : 71.82 = 48.24 : x
  2. Step 2: Convert to fraction form
    52.20/71.82 = 48.24/x
  3. Step 3: Cross multiply
    52.20x = 71.82 × 48.24
  4. Step 4: Simplify right side
    52.20x = 3,464.60
  5. Step 5: Solve for x
    x = 3,464.60/52.20
  6. Step 6: Final answer
    x = 66.37

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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.