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Finding the Fourth Proportional to 109.52, 151.04 and 84.96

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Solution

The fourth proportional to 109.52, 151.04 and 84.96 is: 117.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.52 : 151.04 = 84.96 : x
  2. Step 2: Convert to fraction form
    109.52/151.04 = 84.96/x
  3. Step 3: Cross multiply
    109.52x = 151.04 × 84.96
  4. Step 4: Simplify right side
    109.52x = 12,832.36
  5. Step 5: Solve for x
    x = 12,832.36/109.52
  6. Step 6: Final answer
    x = 117.17

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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.