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Finding the Fourth Proportional to 93.09, 128.46 and 61.55

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Solution

The fourth proportional to 93.09, 128.46 and 61.55 is: 84.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.09 : 128.46 = 61.55 : x
  2. Step 2: Convert to fraction form
    93.09/128.46 = 61.55/x
  3. Step 3: Cross multiply
    93.09x = 128.46 × 61.55
  4. Step 4: Simplify right side
    93.09x = 7,906.07
  5. Step 5: Solve for x
    x = 7,906.07/93.09
  6. Step 6: Final answer
    x = 84.93

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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.