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Finding the Fourth Proportional to 40.91, 61.10 and 34.08

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Solution

The fourth proportional to 40.91, 61.10 and 34.08 is: 50.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.91 : 61.10 = 34.08 : x
  2. Step 2: Convert to fraction form
    40.91/61.10 = 34.08/x
  3. Step 3: Cross multiply
    40.91x = 61.10 × 34.08
  4. Step 4: Simplify right side
    40.91x = 2,082.12
  5. Step 5: Solve for x
    x = 2,082.12/40.91
  6. Step 6: Final answer
    x = 50.90

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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.