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Finding the Fourth Proportional to 76.59, 105.70 and 43.86

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Solution

The fourth proportional to 76.59, 105.70 and 43.86 is: 60.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.59 : 105.70 = 43.86 : x
  2. Step 2: Convert to fraction form
    76.59/105.70 = 43.86/x
  3. Step 3: Cross multiply
    76.59x = 105.70 × 43.86
  4. Step 4: Simplify right side
    76.59x = 4,635.25
  5. Step 5: Solve for x
    x = 4,635.25/76.59
  6. Step 6: Final answer
    x = 60.52

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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.