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Finding the Fourth Proportional to 44.51, 61.42 and 24.84

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Solution

The fourth proportional to 44.51, 61.42 and 24.84 is: 34.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.51 : 61.42 = 24.84 : x
  2. Step 2: Convert to fraction form
    44.51/61.42 = 24.84/x
  3. Step 3: Cross multiply
    44.51x = 61.42 × 24.84
  4. Step 4: Simplify right side
    44.51x = 1,525.52
  5. Step 5: Solve for x
    x = 1,525.52/44.51
  6. Step 6: Final answer
    x = 34.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.