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Finding the Fourth Proportional to 76.08, 113.32 and 75.14

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Solution

The fourth proportional to 76.08, 113.32 and 75.14 is: 111.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.08 : 113.32 = 75.14 : x
  2. Step 2: Convert to fraction form
    76.08/113.32 = 75.14/x
  3. Step 3: Cross multiply
    76.08x = 113.32 × 75.14
  4. Step 4: Simplify right side
    76.08x = 8,514.86
  5. Step 5: Solve for x
    x = 8,514.86/76.08
  6. Step 6: Final answer
    x = 111.92

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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.