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Finding the Fourth Proportional to 134.85, 202.17 and 74.06

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Solution

The fourth proportional to 134.85, 202.17 and 74.06 is: 111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.85 : 202.17 = 74.06 : x
  2. Step 2: Convert to fraction form
    134.85/202.17 = 74.06/x
  3. Step 3: Cross multiply
    134.85x = 202.17 × 74.06
  4. Step 4: Simplify right side
    134.85x = 14,972.71
  5. Step 5: Solve for x
    x = 14,972.71/134.85
  6. Step 6: Final answer
    x = 111.03

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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.