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Finding the Fourth Proportional to 106.84, 161.02 and 96.58

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Solution

The fourth proportional to 106.84, 161.02 and 96.58 is: 145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.84 : 161.02 = 96.58 : x
  2. Step 2: Convert to fraction form
    106.84/161.02 = 96.58/x
  3. Step 3: Cross multiply
    106.84x = 161.02 × 96.58
  4. Step 4: Simplify right side
    106.84x = 15,551.31
  5. Step 5: Solve for x
    x = 15,551.31/106.84
  6. Step 6: Final answer
    x = 145.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.