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Finding the Fourth Proportional to 50.40, 75.42 and 35.15

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Solution

The fourth proportional to 50.40, 75.42 and 35.15 is: 52.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.40 : 75.42 = 35.15 : x
  2. Step 2: Convert to fraction form
    50.40/75.42 = 35.15/x
  3. Step 3: Cross multiply
    50.40x = 75.42 × 35.15
  4. Step 4: Simplify right side
    50.40x = 2,650.64
  5. Step 5: Solve for x
    x = 2,650.64/50.40
  6. Step 6: Final answer
    x = 52.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.