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Finding the Fourth Proportional to 109.53, 151.20 and 80.51

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Solution

The fourth proportional to 109.53, 151.20 and 80.51 is: 111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.53 : 151.20 = 80.51 : x
  2. Step 2: Convert to fraction form
    109.53/151.20 = 80.51/x
  3. Step 3: Cross multiply
    109.53x = 151.20 × 80.51
  4. Step 4: Simplify right side
    109.53x = 12,172.36
  5. Step 5: Solve for x
    x = 12,172.36/109.53
  6. Step 6: Final answer
    x = 111.13

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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.