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Finding the Fourth Proportional to 35.14, 52.70 and 12.30

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Solution

The fourth proportional to 35.14, 52.70 and 12.30 is: 18.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.14 : 52.70 = 12.30 : x
  2. Step 2: Convert to fraction form
    35.14/52.70 = 12.30/x
  3. Step 3: Cross multiply
    35.14x = 52.70 × 12.30
  4. Step 4: Simplify right side
    35.14x = 648.21
  5. Step 5: Solve for x
    x = 648.21/35.14
  6. Step 6: Final answer
    x = 18.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.