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Finding the Fourth Proportional to 95.78, 143.40 and 83.72

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Solution

The fourth proportional to 95.78, 143.40 and 83.72 is: 125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.78 : 143.40 = 83.72 : x
  2. Step 2: Convert to fraction form
    95.78/143.40 = 83.72/x
  3. Step 3: Cross multiply
    95.78x = 143.40 × 83.72
  4. Step 4: Simplify right side
    95.78x = 12,005.45
  5. Step 5: Solve for x
    x = 12,005.45/95.78
  6. Step 6: Final answer
    x = 125.34

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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.