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Finding the Fourth Proportional to 60.92, 90.77 and 58.38

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Solution

The fourth proportional to 60.92, 90.77 and 58.38 is: 86.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.92 : 90.77 = 58.38 : x
  2. Step 2: Convert to fraction form
    60.92/90.77 = 58.38/x
  3. Step 3: Cross multiply
    60.92x = 90.77 × 58.38
  4. Step 4: Simplify right side
    60.92x = 5,299.15
  5. Step 5: Solve for x
    x = 5,299.15/60.92
  6. Step 6: Final answer
    x = 86.99

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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.