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Finding the Fourth Proportional to 40.47, 60.57 and 31.28

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Solution

The fourth proportional to 40.47, 60.57 and 31.28 is: 46.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.47 : 60.57 = 31.28 : x
  2. Step 2: Convert to fraction form
    40.47/60.57 = 31.28/x
  3. Step 3: Cross multiply
    40.47x = 60.57 × 31.28
  4. Step 4: Simplify right side
    40.47x = 1,894.33
  5. Step 5: Solve for x
    x = 1,894.33/40.47
  6. Step 6: Final answer
    x = 46.81

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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.