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Finding the Fourth Proportional to 41.03, 56.64 and 31.80

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Solution

The fourth proportional to 41.03, 56.64 and 31.80 is: 43.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.03 : 56.64 = 31.80 : x
  2. Step 2: Convert to fraction form
    41.03/56.64 = 31.80/x
  3. Step 3: Cross multiply
    41.03x = 56.64 × 31.80
  4. Step 4: Simplify right side
    41.03x = 1,801.17
  5. Step 5: Solve for x
    x = 1,801.17/41.03
  6. Step 6: Final answer
    x = 43.90

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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.