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Finding the Fourth Proportional to 58.92, 81.20 and 49.68

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Solution

The fourth proportional to 58.92, 81.20 and 49.68 is: 68.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.92 : 81.20 = 49.68 : x
  2. Step 2: Convert to fraction form
    58.92/81.20 = 49.68/x
  3. Step 3: Cross multiply
    58.92x = 81.20 × 49.68
  4. Step 4: Simplify right side
    58.92x = 4,034.02
  5. Step 5: Solve for x
    x = 4,034.02/58.92
  6. Step 6: Final answer
    x = 68.47

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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.