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Finding the Fourth Proportional to 76.47, 105.51 and 51.90

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Solution

The fourth proportional to 76.47, 105.51 and 51.90 is: 71.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.47 : 105.51 = 51.90 : x
  2. Step 2: Convert to fraction form
    76.47/105.51 = 51.90/x
  3. Step 3: Cross multiply
    76.47x = 105.51 × 51.90
  4. Step 4: Simplify right side
    76.47x = 5,475.97
  5. Step 5: Solve for x
    x = 5,475.97/76.47
  6. Step 6: Final answer
    x = 71.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.