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Finding the Fourth Proportional to 40.10, 60.14 and 32.06

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Solution

The fourth proportional to 40.10, 60.14 and 32.06 is: 48.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.10 : 60.14 = 32.06 : x
  2. Step 2: Convert to fraction form
    40.10/60.14 = 32.06/x
  3. Step 3: Cross multiply
    40.10x = 60.14 × 32.06
  4. Step 4: Simplify right side
    40.10x = 1,928.32
  5. Step 5: Solve for x
    x = 1,928.32/40.10
  6. Step 6: Final answer
    x = 48.09

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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.