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Finding the Fourth Proportional to 46.02, 68.61 and 41.76

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Solution

The fourth proportional to 46.02, 68.61 and 41.76 is: 62.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.02 : 68.61 = 41.76 : x
  2. Step 2: Convert to fraction form
    46.02/68.61 = 41.76/x
  3. Step 3: Cross multiply
    46.02x = 68.61 × 41.76
  4. Step 4: Simplify right side
    46.02x = 2,865.15
  5. Step 5: Solve for x
    x = 2,865.15/46.02
  6. Step 6: Final answer
    x = 62.26

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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.