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Finding the Fourth Proportional to 75.79, 105.02 and 72.96

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Solution

The fourth proportional to 75.79, 105.02 and 72.96 is: 101.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.79 : 105.02 = 72.96 : x
  2. Step 2: Convert to fraction form
    75.79/105.02 = 72.96/x
  3. Step 3: Cross multiply
    75.79x = 105.02 × 72.96
  4. Step 4: Simplify right side
    75.79x = 7,662.26
  5. Step 5: Solve for x
    x = 7,662.26/75.79
  6. Step 6: Final answer
    x = 101.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.