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Finding the Fourth Proportional to 44.58, 61.54 and 31.64

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Solution

The fourth proportional to 44.58, 61.54 and 31.64 is: 43.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.58 : 61.54 = 31.64 : x
  2. Step 2: Convert to fraction form
    44.58/61.54 = 31.64/x
  3. Step 3: Cross multiply
    44.58x = 61.54 × 31.64
  4. Step 4: Simplify right side
    44.58x = 1,947.13
  5. Step 5: Solve for x
    x = 1,947.13/44.58
  6. Step 6: Final answer
    x = 43.68

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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.