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Finding the Fourth Proportional to 142.76, 214.24 and 51.53

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Solution

The fourth proportional to 142.76, 214.24 and 51.53 is: 77.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.76 : 214.24 = 51.53 : x
  2. Step 2: Convert to fraction form
    142.76/214.24 = 51.53/x
  3. Step 3: Cross multiply
    142.76x = 214.24 × 51.53
  4. Step 4: Simplify right side
    142.76x = 11,039.53
  5. Step 5: Solve for x
    x = 11,039.53/142.76
  6. Step 6: Final answer
    x = 77.33

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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.