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Finding the Fourth Proportional to 93.29, 128.61 and 67.10

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Solution

The fourth proportional to 93.29, 128.61 and 67.10 is: 92.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.29 : 128.61 = 67.10 : x
  2. Step 2: Convert to fraction form
    93.29/128.61 = 67.10/x
  3. Step 3: Cross multiply
    93.29x = 128.61 × 67.10
  4. Step 4: Simplify right side
    93.29x = 8,629.09
  5. Step 5: Solve for x
    x = 8,629.09/93.29
  6. Step 6: Final answer
    x = 92.50

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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.