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Finding the Fourth Proportional to 40.16, 60.31 and 31.19

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Solution

The fourth proportional to 40.16, 60.31 and 31.19 is: 46.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.16 : 60.31 = 31.19 : x
  2. Step 2: Convert to fraction form
    40.16/60.31 = 31.19/x
  3. Step 3: Cross multiply
    40.16x = 60.31 × 31.19
  4. Step 4: Simplify right side
    40.16x = 1,880.81
  5. Step 5: Solve for x
    x = 1,880.81/40.16
  6. Step 6: Final answer
    x = 46.83

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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.