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Finding the Fourth Proportional to 93.07, 128.51 and 76.69

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Solution

The fourth proportional to 93.07, 128.51 and 76.69 is: 105.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.07 : 128.51 = 76.69 : x
  2. Step 2: Convert to fraction form
    93.07/128.51 = 76.69/x
  3. Step 3: Cross multiply
    93.07x = 128.51 × 76.69
  4. Step 4: Simplify right side
    93.07x = 9,855.43
  5. Step 5: Solve for x
    x = 9,855.43/93.07
  6. Step 6: Final answer
    x = 105.89

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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.