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Finding the Fourth Proportional to 51.90, 71.34 and 51.66

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Solution

The fourth proportional to 51.90, 71.34 and 51.66 is: 71.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.90 : 71.34 = 51.66 : x
  2. Step 2: Convert to fraction form
    51.90/71.34 = 51.66/x
  3. Step 3: Cross multiply
    51.90x = 71.34 × 51.66
  4. Step 4: Simplify right side
    51.90x = 3,685.42
  5. Step 5: Solve for x
    x = 3,685.42/51.90
  6. Step 6: Final answer
    x = 71.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.