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Finding the Fourth Proportional to 40, 60.06 and 31.40

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Solution

The fourth proportional to 40, 60.06 and 31.40 is: 47.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40 : 60.06 = 31.40 : x
  2. Step 2: Convert to fraction form
    40/60.06 = 31.40/x
  3. Step 3: Cross multiply
    40x = 60.06 × 31.40
  4. Step 4: Simplify right side
    40x = 1,885.88
  5. Step 5: Solve for x
    x = 1,885.88/40
  6. Step 6: Final answer
    x = 47.15

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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.