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Finding the Fourth Proportional to 106.51, 146.96 and 59.88

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Solution

The fourth proportional to 106.51, 146.96 and 59.88 is: 82.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.51 : 146.96 = 59.88 : x
  2. Step 2: Convert to fraction form
    106.51/146.96 = 59.88/x
  3. Step 3: Cross multiply
    106.51x = 146.96 × 59.88
  4. Step 4: Simplify right side
    106.51x = 8,799.96
  5. Step 5: Solve for x
    x = 8,799.96/106.51
  6. Step 6: Final answer
    x = 82.62

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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.