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Finding the Fourth Proportional to 40.97, 61.16 and 30.71

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Solution

The fourth proportional to 40.97, 61.16 and 30.71 is: 45.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.97 : 61.16 = 30.71 : x
  2. Step 2: Convert to fraction form
    40.97/61.16 = 30.71/x
  3. Step 3: Cross multiply
    40.97x = 61.16 × 30.71
  4. Step 4: Simplify right side
    40.97x = 1,878.22
  5. Step 5: Solve for x
    x = 1,878.22/40.97
  6. Step 6: Final answer
    x = 45.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.