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Finding the Fourth Proportional to 30.14, 45.20 and 13.02

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Solution

The fourth proportional to 30.14, 45.20 and 13.02 is: 19.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.14 : 45.20 = 13.02 : x
  2. Step 2: Convert to fraction form
    30.14/45.20 = 13.02/x
  3. Step 3: Cross multiply
    30.14x = 45.20 × 13.02
  4. Step 4: Simplify right side
    30.14x = 588.50
  5. Step 5: Solve for x
    x = 588.50/30.14
  6. Step 6: Final answer
    x = 19.53

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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.