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Finding the Fourth Proportional to 93.29, 128.73 and 54.47

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Solution

The fourth proportional to 93.29, 128.73 and 54.47 is: 75.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.29 : 128.73 = 54.47 : x
  2. Step 2: Convert to fraction form
    93.29/128.73 = 54.47/x
  3. Step 3: Cross multiply
    93.29x = 128.73 × 54.47
  4. Step 4: Simplify right side
    93.29x = 7,011.28
  5. Step 5: Solve for x
    x = 7,011.28/93.29
  6. Step 6: Final answer
    x = 75.16

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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.