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Finding the Fourth Proportional to 52.34, 72.24 and 30.50

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Solution

The fourth proportional to 52.34, 72.24 and 30.50 is: 42.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.34 : 72.24 = 30.50 : x
  2. Step 2: Convert to fraction form
    52.34/72.24 = 30.50/x
  3. Step 3: Cross multiply
    52.34x = 72.24 × 30.50
  4. Step 4: Simplify right side
    52.34x = 2,202.96
  5. Step 5: Solve for x
    x = 2,202.96/52.34
  6. Step 6: Final answer
    x = 42.09

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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.