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Finding the Fourth Proportional to 119.76, 165.12 and 100.32

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Solution

The fourth proportional to 119.76, 165.12 and 100.32 is: 138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.76 : 165.12 = 100.32 : x
  2. Step 2: Convert to fraction form
    119.76/165.12 = 100.32/x
  3. Step 3: Cross multiply
    119.76x = 165.12 × 100.32
  4. Step 4: Simplify right side
    119.76x = 16,564.84
  5. Step 5: Solve for x
    x = 16,564.84/119.76
  6. Step 6: Final answer
    x = 138.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.