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Finding the Fourth Proportional to 47.93, 66.11 and 31.53

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Solution

The fourth proportional to 47.93, 66.11 and 31.53 is: 43.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.93 : 66.11 = 31.53 : x
  2. Step 2: Convert to fraction form
    47.93/66.11 = 31.53/x
  3. Step 3: Cross multiply
    47.93x = 66.11 × 31.53
  4. Step 4: Simplify right side
    47.93x = 2,084.53
  5. Step 5: Solve for x
    x = 2,084.53/47.93
  6. Step 6: Final answer
    x = 43.50

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Why These Related Problems?

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