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Finding the Fourth Proportional to 93.05, 128.43 and 56.23

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Solution

The fourth proportional to 93.05, 128.43 and 56.23 is: 77.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.05 : 128.43 = 56.23 : x
  2. Step 2: Convert to fraction form
    93.05/128.43 = 56.23/x
  3. Step 3: Cross multiply
    93.05x = 128.43 × 56.23
  4. Step 4: Simplify right side
    93.05x = 7,221.62
  5. Step 5: Solve for x
    x = 7,221.62/93.05
  6. Step 6: Final answer
    x = 77.61

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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.