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Finding the Fourth Proportional to 76.42, 114.64 and 30.77

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Solution

The fourth proportional to 76.42, 114.64 and 30.77 is: 46.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.42 : 114.64 = 30.77 : x
  2. Step 2: Convert to fraction form
    76.42/114.64 = 30.77/x
  3. Step 3: Cross multiply
    76.42x = 114.64 × 30.77
  4. Step 4: Simplify right side
    76.42x = 3,527.05
  5. Step 5: Solve for x
    x = 3,527.05/76.42
  6. Step 6: Final answer
    x = 46.15

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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.