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Finding the Fourth Proportional to 156.71, 235.21 and 115.07

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Solution

The fourth proportional to 156.71, 235.21 and 115.07 is: 172.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.71 : 235.21 = 115.07 : x
  2. Step 2: Convert to fraction form
    156.71/235.21 = 115.07/x
  3. Step 3: Cross multiply
    156.71x = 235.21 × 115.07
  4. Step 4: Simplify right side
    156.71x = 27,065.31
  5. Step 5: Solve for x
    x = 27,065.31/156.71
  6. Step 6: Final answer
    x = 172.71

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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.