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Finding the Fourth Proportional to 75.09, 102.84 and 72.66

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Solution

The fourth proportional to 75.09, 102.84 and 72.66 is: 99.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.09 : 102.84 = 72.66 : x
  2. Step 2: Convert to fraction form
    75.09/102.84 = 72.66/x
  3. Step 3: Cross multiply
    75.09x = 102.84 × 72.66
  4. Step 4: Simplify right side
    75.09x = 7,472.35
  5. Step 5: Solve for x
    x = 7,472.35/75.09
  6. Step 6: Final answer
    x = 99.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.