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Finding the Fourth Proportional to 103.02, 141.99 and 75.34

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Solution

The fourth proportional to 103.02, 141.99 and 75.34 is: 103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.02 : 141.99 = 75.34 : x
  2. Step 2: Convert to fraction form
    103.02/141.99 = 75.34/x
  3. Step 3: Cross multiply
    103.02x = 141.99 × 75.34
  4. Step 4: Simplify right side
    103.02x = 10,697.42
  5. Step 5: Solve for x
    x = 10,697.42/103.02
  6. Step 6: Final answer
    x = 103.84

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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.