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Finding the Fourth Proportional to 93.38, 128.78 and 56.54

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Solution

The fourth proportional to 93.38, 128.78 and 56.54 is: 77.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.38 : 128.78 = 56.54 : x
  2. Step 2: Convert to fraction form
    93.38/128.78 = 56.54/x
  3. Step 3: Cross multiply
    93.38x = 128.78 × 56.54
  4. Step 4: Simplify right side
    93.38x = 7,281.22
  5. Step 5: Solve for x
    x = 7,281.22/93.38
  6. Step 6: Final answer
    x = 77.97

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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.