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Finding the Fourth Proportional to 73.18, 100.86 and 51.31

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Solution

The fourth proportional to 73.18, 100.86 and 51.31 is: 70.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.18 : 100.86 = 51.31 : x
  2. Step 2: Convert to fraction form
    73.18/100.86 = 51.31/x
  3. Step 3: Cross multiply
    73.18x = 100.86 × 51.31
  4. Step 4: Simplify right side
    73.18x = 5,174.62
  5. Step 5: Solve for x
    x = 5,174.62/73.18
  6. Step 6: Final answer
    x = 70.72

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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.