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Finding the Fourth Proportional to 93.98, 129.77 and 69.68

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Solution

The fourth proportional to 93.98, 129.77 and 69.68 is: 96.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.98 : 129.77 = 69.68 : x
  2. Step 2: Convert to fraction form
    93.98/129.77 = 69.68/x
  3. Step 3: Cross multiply
    93.98x = 129.77 × 69.68
  4. Step 4: Simplify right side
    93.98x = 9,042.37
  5. Step 5: Solve for x
    x = 9,042.37/93.98
  6. Step 6: Final answer
    x = 96.22

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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.