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Finding the Fourth Proportional to 156.06, 234.05 and 102.24

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Solution

The fourth proportional to 156.06, 234.05 and 102.24 is: 153.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.06 : 234.05 = 102.24 : x
  2. Step 2: Convert to fraction form
    156.06/234.05 = 102.24/x
  3. Step 3: Cross multiply
    156.06x = 234.05 × 102.24
  4. Step 4: Simplify right side
    156.06x = 23,928.76
  5. Step 5: Solve for x
    x = 23,928.76/156.06
  6. Step 6: Final answer
    x = 153.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.