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Finding the Fourth Proportional to 41.10, 56.63 and 34.16

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Solution

The fourth proportional to 41.10, 56.63 and 34.16 is: 47.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.10 : 56.63 = 34.16 : x
  2. Step 2: Convert to fraction form
    41.10/56.63 = 34.16/x
  3. Step 3: Cross multiply
    41.10x = 56.63 × 34.16
  4. Step 4: Simplify right side
    41.10x = 1,934.28
  5. Step 5: Solve for x
    x = 1,934.28/41.10
  6. Step 6: Final answer
    x = 47.06

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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.