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Finding the Fourth Proportional to 47.54, 65.57 and 29.81

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Solution

The fourth proportional to 47.54, 65.57 and 29.81 is: 41.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.54 : 65.57 = 29.81 : x
  2. Step 2: Convert to fraction form
    47.54/65.57 = 29.81/x
  3. Step 3: Cross multiply
    47.54x = 65.57 × 29.81
  4. Step 4: Simplify right side
    47.54x = 1,954.64
  5. Step 5: Solve for x
    x = 1,954.64/47.54
  6. Step 6: Final answer
    x = 41.12

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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.