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Finding the Fourth Proportional to 93.40, 128.72 and 75.04

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Solution

The fourth proportional to 93.40, 128.72 and 75.04 is: 103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.40 : 128.72 = 75.04 : x
  2. Step 2: Convert to fraction form
    93.40/128.72 = 75.04/x
  3. Step 3: Cross multiply
    93.40x = 128.72 × 75.04
  4. Step 4: Simplify right side
    93.40x = 9,659.01
  5. Step 5: Solve for x
    x = 9,659.01/93.40
  6. Step 6: Final answer
    x = 103.42

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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.