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Finding the Fourth Proportional to 93.93, 129.75 and 75.65

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Solution

The fourth proportional to 93.93, 129.75 and 75.65 is: 104.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.93 : 129.75 = 75.65 : x
  2. Step 2: Convert to fraction form
    93.93/129.75 = 75.65/x
  3. Step 3: Cross multiply
    93.93x = 129.75 × 75.65
  4. Step 4: Simplify right side
    93.93x = 9,814.94
  5. Step 5: Solve for x
    x = 9,814.94/93.93
  6. Step 6: Final answer
    x = 104.49

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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.