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Finding the Fourth Proportional to 75.18, 103.54 and 69.37

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Solution

The fourth proportional to 75.18, 103.54 and 69.37 is: 95.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.18 : 103.54 = 69.37 : x
  2. Step 2: Convert to fraction form
    75.18/103.54 = 69.37/x
  3. Step 3: Cross multiply
    75.18x = 103.54 × 69.37
  4. Step 4: Simplify right side
    75.18x = 7,182.51
  5. Step 5: Solve for x
    x = 7,182.51/75.18
  6. Step 6: Final answer
    x = 95.54

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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.