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Finding the Fourth Proportional to 44.13, 66.16 and 30.57

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Solution

The fourth proportional to 44.13, 66.16 and 30.57 is: 45.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.13 : 66.16 = 30.57 : x
  2. Step 2: Convert to fraction form
    44.13/66.16 = 30.57/x
  3. Step 3: Cross multiply
    44.13x = 66.16 × 30.57
  4. Step 4: Simplify right side
    44.13x = 2,022.51
  5. Step 5: Solve for x
    x = 2,022.51/44.13
  6. Step 6: Final answer
    x = 45.83

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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.