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Finding the Fourth Proportional to 95.85, 142.98 and 94.50

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Solution

The fourth proportional to 95.85, 142.98 and 94.50 is: 140.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.85 : 142.98 = 94.50 : x
  2. Step 2: Convert to fraction form
    95.85/142.98 = 94.50/x
  3. Step 3: Cross multiply
    95.85x = 142.98 × 94.50
  4. Step 4: Simplify right side
    95.85x = 13,511.26
  5. Step 5: Solve for x
    x = 13,511.26/95.85
  6. Step 6: Final answer
    x = 140.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.