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Finding the Fourth Proportional to 134.66, 202.06 and 73.82

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Solution

The fourth proportional to 134.66, 202.06 and 73.82 is: 110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.66 : 202.06 = 73.82 : x
  2. Step 2: Convert to fraction form
    134.66/202.06 = 73.82/x
  3. Step 3: Cross multiply
    134.66x = 202.06 × 73.82
  4. Step 4: Simplify right side
    134.66x = 14,916.07
  5. Step 5: Solve for x
    x = 14,916.07/134.66
  6. Step 6: Final answer
    x = 110.77

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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.