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Finding the Fourth Proportional to 51.54, 71.14 and 29.72

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Solution

The fourth proportional to 51.54, 71.14 and 29.72 is: 41.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.54 : 71.14 = 29.72 : x
  2. Step 2: Convert to fraction form
    51.54/71.14 = 29.72/x
  3. Step 3: Cross multiply
    51.54x = 71.14 × 29.72
  4. Step 4: Simplify right side
    51.54x = 2,114.17
  5. Step 5: Solve for x
    x = 2,114.17/51.54
  6. Step 6: Final answer
    x = 41.02

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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.