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Finding the Fourth Proportional to 45.64, 62.98 and 31.82

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Solution

The fourth proportional to 45.64, 62.98 and 31.82 is: 43.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.64 : 62.98 = 31.82 : x
  2. Step 2: Convert to fraction form
    45.64/62.98 = 31.82/x
  3. Step 3: Cross multiply
    45.64x = 62.98 × 31.82
  4. Step 4: Simplify right side
    45.64x = 2,004.02
  5. Step 5: Solve for x
    x = 2,004.02/45.64
  6. Step 6: Final answer
    x = 43.91

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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.