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Finding the Fourth Proportional to 134.93, 202.24 and 57.84

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Solution

The fourth proportional to 134.93, 202.24 and 57.84 is: 86.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.93 : 202.24 = 57.84 : x
  2. Step 2: Convert to fraction form
    134.93/202.24 = 57.84/x
  3. Step 3: Cross multiply
    134.93x = 202.24 × 57.84
  4. Step 4: Simplify right side
    134.93x = 11,697.56
  5. Step 5: Solve for x
    x = 11,697.56/134.93
  6. Step 6: Final answer
    x = 86.69

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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.