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Finding the Fourth Proportional to 95.79, 143.86 and 78.71

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Solution

The fourth proportional to 95.79, 143.86 and 78.71 is: 118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.79 : 143.86 = 78.71 : x
  2. Step 2: Convert to fraction form
    95.79/143.86 = 78.71/x
  3. Step 3: Cross multiply
    95.79x = 143.86 × 78.71
  4. Step 4: Simplify right side
    95.79x = 11,323.22
  5. Step 5: Solve for x
    x = 11,323.22/95.79
  6. Step 6: Final answer
    x = 118.21

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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.