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Finding the Fourth Proportional to 51.46, 77.14 and 27.07

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Solution

The fourth proportional to 51.46, 77.14 and 27.07 is: 40.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.46 : 77.14 = 27.07 : x
  2. Step 2: Convert to fraction form
    51.46/77.14 = 27.07/x
  3. Step 3: Cross multiply
    51.46x = 77.14 × 27.07
  4. Step 4: Simplify right side
    51.46x = 2,088.02
  5. Step 5: Solve for x
    x = 2,088.02/51.46
  6. Step 6: Final answer
    x = 40.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.