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Finding the Fourth Proportional to 52.82, 72.50 and 52.56

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Solution

The fourth proportional to 52.82, 72.50 and 52.56 is: 72.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.82 : 72.50 = 52.56 : x
  2. Step 2: Convert to fraction form
    52.82/72.50 = 52.56/x
  3. Step 3: Cross multiply
    52.82x = 72.50 × 52.56
  4. Step 4: Simplify right side
    52.82x = 3,810.60
  5. Step 5: Solve for x
    x = 3,810.60/52.82
  6. Step 6: Final answer
    x = 72.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.