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Finding the Fourth Proportional to 60.09, 90.14 and 36.21

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Solution

The fourth proportional to 60.09, 90.14 and 36.21 is: 54.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.09 : 90.14 = 36.21 : x
  2. Step 2: Convert to fraction form
    60.09/90.14 = 36.21/x
  3. Step 3: Cross multiply
    60.09x = 90.14 × 36.21
  4. Step 4: Simplify right side
    60.09x = 3,263.79
  5. Step 5: Solve for x
    x = 3,263.79/60.09
  6. Step 6: Final answer
    x = 54.32

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