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Finding the Fourth Proportional to 103.32, 142.62 and 75.81

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Solution

The fourth proportional to 103.32, 142.62 and 75.81 is: 104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.32 : 142.62 = 75.81 : x
  2. Step 2: Convert to fraction form
    103.32/142.62 = 75.81/x
  3. Step 3: Cross multiply
    103.32x = 142.62 × 75.81
  4. Step 4: Simplify right side
    103.32x = 10,812.02
  5. Step 5: Solve for x
    x = 10,812.02/103.32
  6. Step 6: Final answer
    x = 104.65

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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.