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Finding the Fourth Proportional to 75.40, 103.81 and 71.35

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Solution

The fourth proportional to 75.40, 103.81 and 71.35 is: 98.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.40 : 103.81 = 71.35 : x
  2. Step 2: Convert to fraction form
    75.40/103.81 = 71.35/x
  3. Step 3: Cross multiply
    75.40x = 103.81 × 71.35
  4. Step 4: Simplify right side
    75.40x = 7,405.97
  5. Step 5: Solve for x
    x = 7,405.97/75.40
  6. Step 6: Final answer
    x = 98.23

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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.