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Finding the Fourth Proportional to 52.30, 71.82 and 51.56

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Solution

The fourth proportional to 52.30, 71.82 and 51.56 is: 70.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.30 : 71.82 = 51.56 : x
  2. Step 2: Convert to fraction form
    52.30/71.82 = 51.56/x
  3. Step 3: Cross multiply
    52.30x = 71.82 × 51.56
  4. Step 4: Simplify right side
    52.30x = 3,703.04
  5. Step 5: Solve for x
    x = 3,703.04/52.30
  6. Step 6: Final answer
    x = 70.80

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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.