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Finding the Fourth Proportional to 30.29, 45.40 and 15.05

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Solution

The fourth proportional to 30.29, 45.40 and 15.05 is: 22.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.29 : 45.40 = 15.05 : x
  2. Step 2: Convert to fraction form
    30.29/45.40 = 15.05/x
  3. Step 3: Cross multiply
    30.29x = 45.40 × 15.05
  4. Step 4: Simplify right side
    30.29x = 683.27
  5. Step 5: Solve for x
    x = 683.27/30.29
  6. Step 6: Final answer
    x = 22.56

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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.