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Finding the Fourth Proportional to 30.26, 45.02 and 29.66

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Solution

The fourth proportional to 30.26, 45.02 and 29.66 is: 44.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.26 : 45.02 = 29.66 : x
  2. Step 2: Convert to fraction form
    30.26/45.02 = 29.66/x
  3. Step 3: Cross multiply
    30.26x = 45.02 × 29.66
  4. Step 4: Simplify right side
    30.26x = 1,335.14
  5. Step 5: Solve for x
    x = 1,335.14/30.26
  6. Step 6: Final answer
    x = 44.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.