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Finding the Fourth Proportional to 41.16, 61.76 and 23.14

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Solution

The fourth proportional to 41.16, 61.76 and 23.14 is: 34.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.16 : 61.76 = 23.14 : x
  2. Step 2: Convert to fraction form
    41.16/61.76 = 23.14/x
  3. Step 3: Cross multiply
    41.16x = 61.76 × 23.14
  4. Step 4: Simplify right side
    41.16x = 1,428.91
  5. Step 5: Solve for x
    x = 1,428.91/41.16
  6. Step 6: Final answer
    x = 34.72

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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.