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Finding the Fourth Proportional to 75.86, 113.60 and 66.64

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Solution

The fourth proportional to 75.86, 113.60 and 66.64 is: 99.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.86 : 113.60 = 66.64 : x
  2. Step 2: Convert to fraction form
    75.86/113.60 = 66.64/x
  3. Step 3: Cross multiply
    75.86x = 113.60 × 66.64
  4. Step 4: Simplify right side
    75.86x = 7,570.30
  5. Step 5: Solve for x
    x = 7,570.30/75.86
  6. Step 6: Final answer
    x = 99.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.