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Finding the Fourth Proportional to 47.13, 64.89 and 40.55

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Solution

The fourth proportional to 47.13, 64.89 and 40.55 is: 55.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.13 : 64.89 = 40.55 : x
  2. Step 2: Convert to fraction form
    47.13/64.89 = 40.55/x
  3. Step 3: Cross multiply
    47.13x = 64.89 × 40.55
  4. Step 4: Simplify right side
    47.13x = 2,631.45
  5. Step 5: Solve for x
    x = 2,631.45/47.13
  6. Step 6: Final answer
    x = 55.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.