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Finding the Fourth Proportional to 51.59, 71.01 and 46.56

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Solution

The fourth proportional to 51.59, 71.01 and 46.56 is: 64.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.59 : 71.01 = 46.56 : x
  2. Step 2: Convert to fraction form
    51.59/71.01 = 46.56/x
  3. Step 3: Cross multiply
    51.59x = 71.01 × 46.56
  4. Step 4: Simplify right side
    51.59x = 3,306.23
  5. Step 5: Solve for x
    x = 3,306.23/51.59
  6. Step 6: Final answer
    x = 64.09

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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.