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Finding the Fourth Proportional to 102, 153.06 and 37.86

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Solution

The fourth proportional to 102, 153.06 and 37.86 is: 56.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102 : 153.06 = 37.86 : x
  2. Step 2: Convert to fraction form
    102/153.06 = 37.86/x
  3. Step 3: Cross multiply
    102x = 153.06 × 37.86
  4. Step 4: Simplify right side
    102x = 5,794.85
  5. Step 5: Solve for x
    x = 5,794.85/102
  6. Step 6: Final answer
    x = 56.81

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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.