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Finding the Fourth Proportional to 40.53, 60.82 and 31.59

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Solution

The fourth proportional to 40.53, 60.82 and 31.59 is: 47.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.53 : 60.82 = 31.59 : x
  2. Step 2: Convert to fraction form
    40.53/60.82 = 31.59/x
  3. Step 3: Cross multiply
    40.53x = 60.82 × 31.59
  4. Step 4: Simplify right side
    40.53x = 1,921.22
  5. Step 5: Solve for x
    x = 1,921.22/40.53
  6. Step 6: Final answer
    x = 47.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.