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Finding the Fourth Proportional to 93.42, 128.91 and 54.09

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Solution

The fourth proportional to 93.42, 128.91 and 54.09 is: 74.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.42 : 128.91 = 54.09 : x
  2. Step 2: Convert to fraction form
    93.42/128.91 = 54.09/x
  3. Step 3: Cross multiply
    93.42x = 128.91 × 54.09
  4. Step 4: Simplify right side
    93.42x = 6,972.47
  5. Step 5: Solve for x
    x = 6,972.47/93.42
  6. Step 6: Final answer
    x = 74.63

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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.