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Finding the Fourth Proportional to 40.49, 60.64 and 31.31

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Solution

The fourth proportional to 40.49, 60.64 and 31.31 is: 46.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.49 : 60.64 = 31.31 : x
  2. Step 2: Convert to fraction form
    40.49/60.64 = 31.31/x
  3. Step 3: Cross multiply
    40.49x = 60.64 × 31.31
  4. Step 4: Simplify right side
    40.49x = 1,898.71
  5. Step 5: Solve for x
    x = 1,898.71/40.49
  6. Step 6: Final answer
    x = 46.89

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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.