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Finding the Fourth Proportional to 93.06, 128.34 and 54.23

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Solution

The fourth proportional to 93.06, 128.34 and 54.23 is: 74.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.06 : 128.34 = 54.23 : x
  2. Step 2: Convert to fraction form
    93.06/128.34 = 54.23/x
  3. Step 3: Cross multiply
    93.06x = 128.34 × 54.23
  4. Step 4: Simplify right side
    93.06x = 6,959.24
  5. Step 5: Solve for x
    x = 6,959.24/93.06
  6. Step 6: Final answer
    x = 74.78

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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.