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Finding the Fourth Proportional to 51.54, 71.12 and 29.71

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Solution

The fourth proportional to 51.54, 71.12 and 29.71 is: 41.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.54 : 71.12 = 29.71 : x
  2. Step 2: Convert to fraction form
    51.54/71.12 = 29.71/x
  3. Step 3: Cross multiply
    51.54x = 71.12 × 29.71
  4. Step 4: Simplify right side
    51.54x = 2,113.14
  5. Step 5: Solve for x
    x = 2,113.14/51.54
  6. Step 6: Final answer
    x = 41.00

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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.