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Finding the Fourth Proportional to 93.36, 129 and 75.84

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Solution

The fourth proportional to 93.36, 129 and 75.84 is: 104.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.36 : 129 = 75.84 : x
  2. Step 2: Convert to fraction form
    93.36/129 = 75.84/x
  3. Step 3: Cross multiply
    93.36x = 129 × 75.84
  4. Step 4: Simplify right side
    93.36x = 9,783.36
  5. Step 5: Solve for x
    x = 9,783.36/93.36
  6. Step 6: Final answer
    x = 104.79

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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.