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Finding the Fourth Proportional to 44.18, 66.16 and 23.84

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Solution

The fourth proportional to 44.18, 66.16 and 23.84 is: 35.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.18 : 66.16 = 23.84 : x
  2. Step 2: Convert to fraction form
    44.18/66.16 = 23.84/x
  3. Step 3: Cross multiply
    44.18x = 66.16 × 23.84
  4. Step 4: Simplify right side
    44.18x = 1,577.20
  5. Step 5: Solve for x
    x = 1,577.20/44.18
  6. Step 6: Final answer
    x = 35.70

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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.