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Finding the Fourth Proportional to 103.32, 141.72 and 90.36

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Solution

The fourth proportional to 103.32, 141.72 and 90.36 is: 123.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.32 : 141.72 = 90.36 : x
  2. Step 2: Convert to fraction form
    103.32/141.72 = 90.36/x
  3. Step 3: Cross multiply
    103.32x = 141.72 × 90.36
  4. Step 4: Simplify right side
    103.32x = 12,805.82
  5. Step 5: Solve for x
    x = 12,805.82/103.32
  6. Step 6: Final answer
    x = 123.94

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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.