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Finding the Fourth Proportional to 76.35, 105.42 and 60.11

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Solution

The fourth proportional to 76.35, 105.42 and 60.11 is: 82.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.35 : 105.42 = 60.11 : x
  2. Step 2: Convert to fraction form
    76.35/105.42 = 60.11/x
  3. Step 3: Cross multiply
    76.35x = 105.42 × 60.11
  4. Step 4: Simplify right side
    76.35x = 6,336.27
  5. Step 5: Solve for x
    x = 6,336.27/76.35
  6. Step 6: Final answer
    x = 82.99

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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.