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Finding the Fourth Proportional to 93.24, 128.68 and 56.41

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Solution

The fourth proportional to 93.24, 128.68 and 56.41 is: 77.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.24 : 128.68 = 56.41 : x
  2. Step 2: Convert to fraction form
    93.24/128.68 = 56.41/x
  3. Step 3: Cross multiply
    93.24x = 128.68 × 56.41
  4. Step 4: Simplify right side
    93.24x = 7,258.38
  5. Step 5: Solve for x
    x = 7,258.38/93.24
  6. Step 6: Final answer
    x = 77.85

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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.