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Finding the Fourth Proportional to 152.20, 210.05 and 108.73

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Solution

The fourth proportional to 152.20, 210.05 and 108.73 is: 150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.20 : 210.05 = 108.73 : x
  2. Step 2: Convert to fraction form
    152.20/210.05 = 108.73/x
  3. Step 3: Cross multiply
    152.20x = 210.05 × 108.73
  4. Step 4: Simplify right side
    152.20x = 22,838.74
  5. Step 5: Solve for x
    x = 22,838.74/152.20
  6. Step 6: Final answer
    x = 150.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.