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Finding the Fourth Proportional to 44.64, 61.66 and 34.28

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Solution

The fourth proportional to 44.64, 61.66 and 34.28 is: 47.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.64 : 61.66 = 34.28 : x
  2. Step 2: Convert to fraction form
    44.64/61.66 = 34.28/x
  3. Step 3: Cross multiply
    44.64x = 61.66 × 34.28
  4. Step 4: Simplify right side
    44.64x = 2,113.70
  5. Step 5: Solve for x
    x = 2,113.70/44.64
  6. Step 6: Final answer
    x = 47.35

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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.