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Finding the Fourth Proportional to 44.61, 61.53 and 34.23

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Solution

The fourth proportional to 44.61, 61.53 and 34.23 is: 47.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.61 : 61.53 = 34.23 : x
  2. Step 2: Convert to fraction form
    44.61/61.53 = 34.23/x
  3. Step 3: Cross multiply
    44.61x = 61.53 × 34.23
  4. Step 4: Simplify right side
    44.61x = 2,106.27
  5. Step 5: Solve for x
    x = 2,106.27/44.61
  6. Step 6: Final answer
    x = 47.22

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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.