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Finding the Fourth Proportional to 107.84, 161.06 and 89.66

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Solution

The fourth proportional to 107.84, 161.06 and 89.66 is: 133.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.84 : 161.06 = 89.66 : x
  2. Step 2: Convert to fraction form
    107.84/161.06 = 89.66/x
  3. Step 3: Cross multiply
    107.84x = 161.06 × 89.66
  4. Step 4: Simplify right side
    107.84x = 14,440.64
  5. Step 5: Solve for x
    x = 14,440.64/107.84
  6. Step 6: Final answer
    x = 133.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.