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Finding the Fourth Proportional to 95.81, 142.52 and 95.50

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Solution

The fourth proportional to 95.81, 142.52 and 95.50 is: 142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.81 : 142.52 = 95.50 : x
  2. Step 2: Convert to fraction form
    95.81/142.52 = 95.50/x
  3. Step 3: Cross multiply
    95.81x = 142.52 × 95.50
  4. Step 4: Simplify right side
    95.81x = 13,610.66
  5. Step 5: Solve for x
    x = 13,610.66/95.81
  6. Step 6: Final answer
    x = 142.06

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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.