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Finding the Fourth Proportional to 93.05, 128.41 and 53.71

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Solution

The fourth proportional to 93.05, 128.41 and 53.71 is: 74.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.05 : 128.41 = 53.71 : x
  2. Step 2: Convert to fraction form
    93.05/128.41 = 53.71/x
  3. Step 3: Cross multiply
    93.05x = 128.41 × 53.71
  4. Step 4: Simplify right side
    93.05x = 6,896.45
  5. Step 5: Solve for x
    x = 6,896.45/93.05
  6. Step 6: Final answer
    x = 74.12

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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.