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Finding the Fourth Proportional to 102.06, 153.12 and 29.94

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Solution

The fourth proportional to 102.06, 153.12 and 29.94 is: 44.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.06 : 153.12 = 29.94 : x
  2. Step 2: Convert to fraction form
    102.06/153.12 = 29.94/x
  3. Step 3: Cross multiply
    102.06x = 153.12 × 29.94
  4. Step 4: Simplify right side
    102.06x = 4,584.41
  5. Step 5: Solve for x
    x = 4,584.41/102.06
  6. Step 6: Final answer
    x = 44.92

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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.