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Finding the Fourth Proportional to 102.86, 154.38 and 74.06

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Solution

The fourth proportional to 102.86, 154.38 and 74.06 is: 111.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.86 : 154.38 = 74.06 : x
  2. Step 2: Convert to fraction form
    102.86/154.38 = 74.06/x
  3. Step 3: Cross multiply
    102.86x = 154.38 × 74.06
  4. Step 4: Simplify right side
    102.86x = 11,433.38
  5. Step 5: Solve for x
    x = 11,433.38/102.86
  6. Step 6: Final answer
    x = 111.15

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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.