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Finding the Fourth Proportional to 52.30, 71.80 and 49.42

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Solution

The fourth proportional to 52.30, 71.80 and 49.42 is: 67.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.30 : 71.80 = 49.42 : x
  2. Step 2: Convert to fraction form
    52.30/71.80 = 49.42/x
  3. Step 3: Cross multiply
    52.30x = 71.80 × 49.42
  4. Step 4: Simplify right side
    52.30x = 3,548.36
  5. Step 5: Solve for x
    x = 3,548.36/52.30
  6. Step 6: Final answer
    x = 67.85

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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.