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Finding the Fourth Proportional to 58.92, 81.24 and 41.16

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Solution

The fourth proportional to 58.92, 81.24 and 41.16 is: 56.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.92 : 81.24 = 41.16 : x
  2. Step 2: Convert to fraction form
    58.92/81.24 = 41.16/x
  3. Step 3: Cross multiply
    58.92x = 81.24 × 41.16
  4. Step 4: Simplify right side
    58.92x = 3,343.84
  5. Step 5: Solve for x
    x = 3,343.84/58.92
  6. Step 6: Final answer
    x = 56.75

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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.