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Finding the Fourth Proportional to 75.58, 103.67 and 71.17

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Solution

The fourth proportional to 75.58, 103.67 and 71.17 is: 97.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.58 : 103.67 = 71.17 : x
  2. Step 2: Convert to fraction form
    75.58/103.67 = 71.17/x
  3. Step 3: Cross multiply
    75.58x = 103.67 × 71.17
  4. Step 4: Simplify right side
    75.58x = 7,377.58
  5. Step 5: Solve for x
    x = 7,377.58/75.58
  6. Step 6: Final answer
    x = 97.62

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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.