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Finding the Fourth Proportional to 76.19, 105.06 and 51.35

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Solution

The fourth proportional to 76.19, 105.06 and 51.35 is: 70.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.19 : 105.06 = 51.35 : x
  2. Step 2: Convert to fraction form
    76.19/105.06 = 51.35/x
  3. Step 3: Cross multiply
    76.19x = 105.06 × 51.35
  4. Step 4: Simplify right side
    76.19x = 5,394.43
  5. Step 5: Solve for x
    x = 5,394.43/76.19
  6. Step 6: Final answer
    x = 70.81

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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.