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Finding the Fourth Proportional to 95.05, 143.09 and 85.13

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Solution

The fourth proportional to 95.05, 143.09 and 85.13 is: 128.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.05 : 143.09 = 85.13 : x
  2. Step 2: Convert to fraction form
    95.05/143.09 = 85.13/x
  3. Step 3: Cross multiply
    95.05x = 143.09 × 85.13
  4. Step 4: Simplify right side
    95.05x = 12,180.11
  5. Step 5: Solve for x
    x = 12,180.11/95.05
  6. Step 6: Final answer
    x = 128.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.