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Finding the Fourth Proportional to 109.17, 150.81 and 76.51

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Solution

The fourth proportional to 109.17, 150.81 and 76.51 is: 105.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.17 : 150.81 = 76.51 : x
  2. Step 2: Convert to fraction form
    109.17/150.81 = 76.51/x
  3. Step 3: Cross multiply
    109.17x = 150.81 × 76.51
  4. Step 4: Simplify right side
    109.17x = 11,538.47
  5. Step 5: Solve for x
    x = 11,538.47/109.17
  6. Step 6: Final answer
    x = 105.69

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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.