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Finding the Fourth Proportional to 156.31, 234.71 and 102.55

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Solution

The fourth proportional to 156.31, 234.71 and 102.55 is: 153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.31 : 234.71 = 102.55 : x
  2. Step 2: Convert to fraction form
    156.31/234.71 = 102.55/x
  3. Step 3: Cross multiply
    156.31x = 234.71 × 102.55
  4. Step 4: Simplify right side
    156.31x = 24,069.51
  5. Step 5: Solve for x
    x = 24,069.51/156.31
  6. Step 6: Final answer
    x = 153.99

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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.