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Finding the Fourth Proportional to 102.99, 141.20 and 95.88

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Solution

The fourth proportional to 102.99, 141.20 and 95.88 is: 131.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.99 : 141.20 = 95.88 : x
  2. Step 2: Convert to fraction form
    102.99/141.20 = 95.88/x
  3. Step 3: Cross multiply
    102.99x = 141.20 × 95.88
  4. Step 4: Simplify right side
    102.99x = 13,537.78
  5. Step 5: Solve for x
    x = 13,537.78/102.99
  6. Step 6: Final answer
    x = 131.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.