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Finding the Fourth Proportional to 134.95, 202.41 and 61.78

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Solution

The fourth proportional to 134.95, 202.41 and 61.78 is: 92.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.95 : 202.41 = 61.78 : x
  2. Step 2: Convert to fraction form
    134.95/202.41 = 61.78/x
  3. Step 3: Cross multiply
    134.95x = 202.41 × 61.78
  4. Step 4: Simplify right side
    134.95x = 12,504.89
  5. Step 5: Solve for x
    x = 12,504.89/134.95
  6. Step 6: Final answer
    x = 92.66

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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.