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Finding the Fourth Proportional to 93.36, 128.83 and 54.02

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Solution

The fourth proportional to 93.36, 128.83 and 54.02 is: 74.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.36 : 128.83 = 54.02 : x
  2. Step 2: Convert to fraction form
    93.36/128.83 = 54.02/x
  3. Step 3: Cross multiply
    93.36x = 128.83 × 54.02
  4. Step 4: Simplify right side
    93.36x = 6,959.13
  5. Step 5: Solve for x
    x = 6,959.13/93.36
  6. Step 6: Final answer
    x = 74.54

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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.