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Finding the Fourth Proportional to 41.03, 56.54 and 37.14

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Solution

The fourth proportional to 41.03, 56.54 and 37.14 is: 51.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.03 : 56.54 = 37.14 : x
  2. Step 2: Convert to fraction form
    41.03/56.54 = 37.14/x
  3. Step 3: Cross multiply
    41.03x = 56.54 × 37.14
  4. Step 4: Simplify right side
    41.03x = 2,099.71
  5. Step 5: Solve for x
    x = 2,099.71/41.03
  6. Step 6: Final answer
    x = 51.18

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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.