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Finding the Fourth Proportional to 109.18, 151.02 and 96.24

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Solution

The fourth proportional to 109.18, 151.02 and 96.24 is: 133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.18 : 151.02 = 96.24 : x
  2. Step 2: Convert to fraction form
    109.18/151.02 = 96.24/x
  3. Step 3: Cross multiply
    109.18x = 151.02 × 96.24
  4. Step 4: Simplify right side
    109.18x = 14,533.68
  5. Step 5: Solve for x
    x = 14,533.68/109.18
  6. Step 6: Final answer
    x = 133.12

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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.