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Finding the Fourth Proportional to 76.63, 114.67 and 53.38

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Solution

The fourth proportional to 76.63, 114.67 and 53.38 is: 79.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.63 : 114.67 = 53.38 : x
  2. Step 2: Convert to fraction form
    76.63/114.67 = 53.38/x
  3. Step 3: Cross multiply
    76.63x = 114.67 × 53.38
  4. Step 4: Simplify right side
    76.63x = 6,120.86
  5. Step 5: Solve for x
    x = 6,120.86/76.63
  6. Step 6: Final answer
    x = 79.88

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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.