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Finding the Fourth Proportional to 60.03, 90.14 and 50.31

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Solution

The fourth proportional to 60.03, 90.14 and 50.31 is: 75.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.03 : 90.14 = 50.31 : x
  2. Step 2: Convert to fraction form
    60.03/90.14 = 50.31/x
  3. Step 3: Cross multiply
    60.03x = 90.14 × 50.31
  4. Step 4: Simplify right side
    60.03x = 4,534.69
  5. Step 5: Solve for x
    x = 4,534.69/60.03
  6. Step 6: Final answer
    x = 75.54

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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.