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Finding the Fourth Proportional to 50.18, 75.65 and 42.62

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Solution

The fourth proportional to 50.18, 75.65 and 42.62 is: 64.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.18 : 75.65 = 42.62 : x
  2. Step 2: Convert to fraction form
    50.18/75.65 = 42.62/x
  3. Step 3: Cross multiply
    50.18x = 75.65 × 42.62
  4. Step 4: Simplify right side
    50.18x = 3,224.50
  5. Step 5: Solve for x
    x = 3,224.50/50.18
  6. Step 6: Final answer
    x = 64.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.