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Finding the Fourth Proportional to 93.33, 128.87 and 77.05

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Solution

The fourth proportional to 93.33, 128.87 and 77.05 is: 106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.33 : 128.87 = 77.05 : x
  2. Step 2: Convert to fraction form
    93.33/128.87 = 77.05/x
  3. Step 3: Cross multiply
    93.33x = 128.87 × 77.05
  4. Step 4: Simplify right side
    93.33x = 9,929.43
  5. Step 5: Solve for x
    x = 9,929.43/93.33
  6. Step 6: Final answer
    x = 106.39

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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.