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Finding the Fourth Proportional to 93.74, 129.25 and 81.98

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Solution

The fourth proportional to 93.74, 129.25 and 81.98 is: 113.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.74 : 129.25 = 81.98 : x
  2. Step 2: Convert to fraction form
    93.74/129.25 = 81.98/x
  3. Step 3: Cross multiply
    93.74x = 129.25 × 81.98
  4. Step 4: Simplify right side
    93.74x = 10,595.06
  5. Step 5: Solve for x
    x = 10,595.06/93.74
  6. Step 6: Final answer
    x = 113.02

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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.