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Finding the Fourth Proportional to 93.27, 128.70 and 51.82

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Solution

The fourth proportional to 93.27, 128.70 and 51.82 is: 71.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.27 : 128.70 = 51.82 : x
  2. Step 2: Convert to fraction form
    93.27/128.70 = 51.82/x
  3. Step 3: Cross multiply
    93.27x = 128.70 × 51.82
  4. Step 4: Simplify right side
    93.27x = 6,668.91
  5. Step 5: Solve for x
    x = 6,668.91/93.27
  6. Step 6: Final answer
    x = 71.50

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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.