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Finding the Fourth Proportional to 103.32, 141.74 and 97.11

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Solution

The fourth proportional to 103.32, 141.74 and 97.11 is: 133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.32 : 141.74 = 97.11 : x
  2. Step 2: Convert to fraction form
    103.32/141.74 = 97.11/x
  3. Step 3: Cross multiply
    103.32x = 141.74 × 97.11
  4. Step 4: Simplify right side
    103.32x = 13,764.48
  5. Step 5: Solve for x
    x = 13,764.48/103.32
  6. Step 6: Final answer
    x = 133.22

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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.