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Finding the Fourth Proportional to 76.38, 114.59 and 43.84

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Solution

The fourth proportional to 76.38, 114.59 and 43.84 is: 65.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.38 : 114.59 = 43.84 : x
  2. Step 2: Convert to fraction form
    76.38/114.59 = 43.84/x
  3. Step 3: Cross multiply
    76.38x = 114.59 × 43.84
  4. Step 4: Simplify right side
    76.38x = 5,023.63
  5. Step 5: Solve for x
    x = 5,023.63/76.38
  6. Step 6: Final answer
    x = 65.77

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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.