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Finding the Fourth Proportional to 51.53, 77.37 and 45.14

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Solution

The fourth proportional to 51.53, 77.37 and 45.14 is: 67.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.53 : 77.37 = 45.14 : x
  2. Step 2: Convert to fraction form
    51.53/77.37 = 45.14/x
  3. Step 3: Cross multiply
    51.53x = 77.37 × 45.14
  4. Step 4: Simplify right side
    51.53x = 3,492.09
  5. Step 5: Solve for x
    x = 3,492.09/51.53
  6. Step 6: Final answer
    x = 67.77

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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.